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Finding the Fourth Proportional to 25,666.88, 38,490.60 and 10,076

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Solution

The fourth proportional to 25,666.88, 38,490.60 and 10,076 is: 15,110.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,666.88 : 38,490.60 = 10,076 : x
  2. Step 2: Convert to fraction form
    25,666.88/38,490.60 = 10,076/x
  3. Step 3: Cross multiply
    25,666.88x = 38,490.60 × 10,076
  4. Step 4: Simplify right side
    25,666.88x = 387,831,285.60
  5. Step 5: Solve for x
    x = 387,831,285.60/25,666.88
  6. Step 6: Final answer
    x = 15,110.18

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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.