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Finding the Fourth Proportional to 25,038, 34,552.98 and 13,707.90

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Solution

The fourth proportional to 25,038, 34,552.98 and 13,707.90 is: 18,917.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,038 : 34,552.98 = 13,707.90 : x
  2. Step 2: Convert to fraction form
    25,038/34,552.98 = 13,707.90/x
  3. Step 3: Cross multiply
    25,038x = 34,552.98 × 13,707.90
  4. Step 4: Simplify right side
    25,038x = 473,648,794.54
  5. Step 5: Solve for x
    x = 473,648,794.54/25,038
  6. Step 6: Final answer
    x = 18,917.20

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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.