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Finding the Fourth Proportional to 21,423.29, 32,138.73 and 7,384.82

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Solution

The fourth proportional to 21,423.29, 32,138.73 and 7,384.82 is: 11,078.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,423.29 : 32,138.73 = 7,384.82 : x
  2. Step 2: Convert to fraction form
    21,423.29/32,138.73 = 7,384.82/x
  3. Step 3: Cross multiply
    21,423.29x = 32,138.73 × 7,384.82
  4. Step 4: Simplify right side
    21,423.29x = 237,338,575.38
  5. Step 5: Solve for x
    x = 237,338,575.38/21,423.29
  6. Step 6: Final answer
    x = 11,078.53

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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.