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Finding the Fourth Proportional to 15,203.70, 22,808.07 and 5,340.42

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Solution

The fourth proportional to 15,203.70, 22,808.07 and 5,340.42 is: 8,011.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,203.70 : 22,808.07 = 5,340.42 : x
  2. Step 2: Convert to fraction form
    15,203.70/22,808.07 = 5,340.42/x
  3. Step 3: Cross multiply
    15,203.70x = 22,808.07 × 5,340.42
  4. Step 4: Simplify right side
    15,203.70x = 121,804,673.19
  5. Step 5: Solve for x
    x = 121,804,673.19/15,203.70
  6. Step 6: Final answer
    x = 8,011.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.