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Finding the Fourth Proportional to 25,649.60, 38,472.47 and 9,009.78

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Solution

The fourth proportional to 25,649.60, 38,472.47 and 9,009.78 is: 13,513.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,649.60 : 38,472.47 = 9,009.78 : x
  2. Step 2: Convert to fraction form
    25,649.60/38,472.47 = 9,009.78/x
  3. Step 3: Cross multiply
    25,649.60x = 38,472.47 × 9,009.78
  4. Step 4: Simplify right side
    25,649.60x = 346,628,490.76
  5. Step 5: Solve for x
    x = 346,628,490.76/25,649.60
  6. Step 6: Final answer
    x = 13,513.99

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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.