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Finding the Fourth Proportional to 25,649.10, 38,471.72 and 9,009.28

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Solution

The fourth proportional to 25,649.10, 38,471.72 and 9,009.28 is: 13,513.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,649.10 : 38,471.72 = 9,009.28 : x
  2. Step 2: Convert to fraction form
    25,649.10/38,471.72 = 9,009.28/x
  3. Step 3: Cross multiply
    25,649.10x = 38,471.72 × 9,009.28
  4. Step 4: Simplify right side
    25,649.10x = 346,602,305.20
  5. Step 5: Solve for x
    x = 346,602,305.20/25,649.10
  6. Step 6: Final answer
    x = 13,513.24

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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.