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Finding the Fourth Proportional to 25,765.60, 38,642.64 and 11,901.28

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Solution

The fourth proportional to 25,765.60, 38,642.64 and 11,901.28 is: 17,849.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,765.60 : 38,642.64 = 11,901.28 : x
  2. Step 2: Convert to fraction form
    25,765.60/38,642.64 = 11,901.28/x
  3. Step 3: Cross multiply
    25,765.60x = 38,642.64 × 11,901.28
  4. Step 4: Simplify right side
    25,765.60x = 459,896,878.58
  5. Step 5: Solve for x
    x = 459,896,878.58/25,765.60
  6. Step 6: Final answer
    x = 17,849.26

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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.