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Finding the Fourth Proportional to 25,792.92, 38,637.54 and 13,455

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Solution

The fourth proportional to 25,792.92, 38,637.54 and 13,455 is: 20,155.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,792.92 : 38,637.54 = 13,455 : x
  2. Step 2: Convert to fraction form
    25,792.92/38,637.54 = 13,455/x
  3. Step 3: Cross multiply
    25,792.92x = 38,637.54 × 13,455
  4. Step 4: Simplify right side
    25,792.92x = 519,868,100.70
  5. Step 5: Solve for x
    x = 519,868,100.70/25,792.92
  6. Step 6: Final answer
    x = 20,155.46

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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.