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Finding the Fourth Proportional to 23,882.52, 32,957.64 and 13,271.93

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Solution

The fourth proportional to 23,882.52, 32,957.64 and 13,271.93 is: 18,315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,882.52 : 32,957.64 = 13,271.93 : x
  2. Step 2: Convert to fraction form
    23,882.52/32,957.64 = 13,271.93/x
  3. Step 3: Cross multiply
    23,882.52x = 32,957.64 × 13,271.93
  4. Step 4: Simplify right side
    23,882.52x = 437,411,491.05
  5. Step 5: Solve for x
    x = 437,411,491.05/23,882.52
  6. Step 6: Final answer
    x = 18,315.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.