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Finding the Fourth Proportional to 21,423.76, 32,145.09 and 7,385.92

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Solution

The fourth proportional to 21,423.76, 32,145.09 and 7,385.92 is: 11,082.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,423.76 : 32,145.09 = 7,385.92 : x
  2. Step 2: Convert to fraction form
    21,423.76/32,145.09 = 7,385.92/x
  3. Step 3: Cross multiply
    21,423.76x = 32,145.09 × 7,385.92
  4. Step 4: Simplify right side
    21,423.76x = 237,421,063.13
  5. Step 5: Solve for x
    x = 237,421,063.13/21,423.76
  6. Step 6: Final answer
    x = 11,082.14

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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.