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Finding the Fourth Proportional to 21,392.61, 32,097.87 and 9,538.23

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Solution

The fourth proportional to 21,392.61, 32,097.87 and 9,538.23 is: 14,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,392.61 : 32,097.87 = 9,538.23 : x
  2. Step 2: Convert to fraction form
    21,392.61/32,097.87 = 9,538.23/x
  3. Step 3: Cross multiply
    21,392.61x = 32,097.87 × 9,538.23
  4. Step 4: Simplify right side
    21,392.61x = 306,156,866.57
  5. Step 5: Solve for x
    x = 306,156,866.57/21,392.61
  6. Step 6: Final answer
    x = 14,311.34

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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.