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Finding the Fourth Proportional to 38,515.60, 57,784.20 and 16,339.60

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Solution

The fourth proportional to 38,515.60, 57,784.20 and 16,339.60 is: 24,513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,515.60 : 57,784.20 = 16,339.60 : x
  2. Step 2: Convert to fraction form
    38,515.60/57,784.20 = 16,339.60/x
  3. Step 3: Cross multiply
    38,515.60x = 57,784.20 × 16,339.60
  4. Step 4: Simplify right side
    38,515.60x = 944,170,714.32
  5. Step 5: Solve for x
    x = 944,170,714.32/38,515.60
  6. Step 6: Final answer
    x = 24,513.98

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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.