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Finding the Fourth Proportional to 23,681.57, 32,679.45 and 13,602.92

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Solution

The fourth proportional to 23,681.57, 32,679.45 and 13,602.92 is: 18,771.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,681.57 : 32,679.45 = 13,602.92 : x
  2. Step 2: Convert to fraction form
    23,681.57/32,679.45 = 13,602.92/x
  3. Step 3: Cross multiply
    23,681.57x = 32,679.45 × 13,602.92
  4. Step 4: Simplify right side
    23,681.57x = 444,535,780.60
  5. Step 5: Solve for x
    x = 444,535,780.60/23,681.57
  6. Step 6: Final answer
    x = 18,771.39

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Why These Related Problems?

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