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Finding the Fourth Proportional to 25,434.65, 35,095.54 and 16,949.44

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Solution

The fourth proportional to 25,434.65, 35,095.54 and 16,949.44 is: 23,387.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,434.65 : 35,095.54 = 16,949.44 : x
  2. Step 2: Convert to fraction form
    25,434.65/35,095.54 = 16,949.44/x
  3. Step 3: Cross multiply
    25,434.65x = 35,095.54 × 16,949.44
  4. Step 4: Simplify right side
    25,434.65x = 594,849,749.50
  5. Step 5: Solve for x
    x = 594,849,749.50/25,434.65
  6. Step 6: Final answer
    x = 23,387.38

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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.