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Finding the Fourth Proportional to 25,616.16, 38,411.20 and 10,029.60

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Solution

The fourth proportional to 25,616.16, 38,411.20 and 10,029.60 is: 15,039.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,616.16 : 38,411.20 = 10,029.60 : x
  2. Step 2: Convert to fraction form
    25,616.16/38,411.20 = 10,029.60/x
  3. Step 3: Cross multiply
    25,616.16x = 38,411.20 × 10,029.60
  4. Step 4: Simplify right side
    25,616.16x = 385,248,971.52
  5. Step 5: Solve for x
    x = 385,248,971.52/25,616.16
  6. Step 6: Final answer
    x = 15,039.29

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