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Finding the Fourth Proportional to 38,509.60, 57,764.40 and 17,773.60

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Solution

The fourth proportional to 38,509.60, 57,764.40 and 17,773.60 is: 26,660.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,509.60 : 57,764.40 = 17,773.60 : x
  2. Step 2: Convert to fraction form
    38,509.60/57,764.40 = 17,773.60/x
  3. Step 3: Cross multiply
    38,509.60x = 57,764.40 × 17,773.60
  4. Step 4: Simplify right side
    38,509.60x = 1,026,681,339.84
  5. Step 5: Solve for x
    x = 1,026,681,339.84/38,509.60
  6. Step 6: Final answer
    x = 26,660.40

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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.