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Finding the Fourth Proportional to 22,345.65, 30,838.65 and 13,849.44

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Solution

The fourth proportional to 22,345.65, 30,838.65 and 13,849.44 is: 19,113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,345.65 : 30,838.65 = 13,849.44 : x
  2. Step 2: Convert to fraction form
    22,345.65/30,838.65 = 13,849.44/x
  3. Step 3: Cross multiply
    22,345.65x = 30,838.65 × 13,849.44
  4. Step 4: Simplify right side
    22,345.65x = 427,098,032.86
  5. Step 5: Solve for x
    x = 427,098,032.86/22,345.65
  6. Step 6: Final answer
    x = 19,113.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.