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Finding the Fourth Proportional to 10,020.52, 15,017.82 and 9,865

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Solution

The fourth proportional to 10,020.52, 15,017.82 and 9,865 is: 14,784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020.52 : 15,017.82 = 9,865 : x
  2. Step 2: Convert to fraction form
    10,020.52/15,017.82 = 9,865/x
  3. Step 3: Cross multiply
    10,020.52x = 15,017.82 × 9,865
  4. Step 4: Simplify right side
    10,020.52x = 148,150,794.30
  5. Step 5: Solve for x
    x = 148,150,794.30/10,020.52
  6. Step 6: Final answer
    x = 14,784.74

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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.