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Finding the Fourth Proportional to 16,385.60, 24,573.60 and 7,618.40

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Solution

The fourth proportional to 16,385.60, 24,573.60 and 7,618.40 is: 11,425.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,385.60 : 24,573.60 = 7,618.40 : x
  2. Step 2: Convert to fraction form
    16,385.60/24,573.60 = 7,618.40/x
  3. Step 3: Cross multiply
    16,385.60x = 24,573.60 × 7,618.40
  4. Step 4: Simplify right side
    16,385.60x = 187,211,514.24
  5. Step 5: Solve for x
    x = 187,211,514.24/16,385.60
  6. Step 6: Final answer
    x = 11,425.37

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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.