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Finding the Fourth Proportional to 25,792.80, 38,689.20 and 15,424.80

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Solution

The fourth proportional to 25,792.80, 38,689.20 and 15,424.80 is: 23,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,792.80 : 38,689.20 = 15,424.80 : x
  2. Step 2: Convert to fraction form
    25,792.80/38,689.20 = 15,424.80/x
  3. Step 3: Cross multiply
    25,792.80x = 38,689.20 × 15,424.80
  4. Step 4: Simplify right side
    25,792.80x = 596,773,172.16
  5. Step 5: Solve for x
    x = 596,773,172.16/25,792.80
  6. Step 6: Final answer
    x = 23,137.20

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1.5x scale

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.