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Finding the Fourth Proportional to 23,675.76, 32,681.90 and 14,242.52

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Solution

The fourth proportional to 23,675.76, 32,681.90 and 14,242.52 is: 19,660.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,675.76 : 32,681.90 = 14,242.52 : x
  2. Step 2: Convert to fraction form
    23,675.76/32,681.90 = 14,242.52/x
  3. Step 3: Cross multiply
    23,675.76x = 32,681.90 × 14,242.52
  4. Step 4: Simplify right side
    23,675.76x = 465,472,614.39
  5. Step 5: Solve for x
    x = 465,472,614.39/23,675.76
  6. Step 6: Final answer
    x = 19,660.30

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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.