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Finding the Fourth Proportional to 15,929.60, 23,893.64 and 6,569.47

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Solution

The fourth proportional to 15,929.60, 23,893.64 and 6,569.47 is: 9,853.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,929.60 : 23,893.64 = 6,569.47 : x
  2. Step 2: Convert to fraction form
    15,929.60/23,893.64 = 6,569.47/x
  3. Step 3: Cross multiply
    15,929.60x = 23,893.64 × 6,569.47
  4. Step 4: Simplify right side
    15,929.60x = 156,968,398.86
  5. Step 5: Solve for x
    x = 156,968,398.86/15,929.60
  6. Step 6: Final answer
    x = 9,853.88

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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.