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Finding the Fourth Proportional to 10,665.45, 15,985.71 and 8,024.47

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Solution

The fourth proportional to 10,665.45, 15,985.71 and 8,024.47 is: 12,027.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.45 : 15,985.71 = 8,024.47 : x
  2. Step 2: Convert to fraction form
    10,665.45/15,985.71 = 8,024.47/x
  3. Step 3: Cross multiply
    10,665.45x = 15,985.71 × 8,024.47
  4. Step 4: Simplify right side
    10,665.45x = 128,276,787.91
  5. Step 5: Solve for x
    x = 128,276,787.91/10,665.45
  6. Step 6: Final answer
    x = 12,027.33

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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.