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Finding the Fourth Proportional to 23,308.47, 32,165.79 and 13,748.46

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Solution

The fourth proportional to 23,308.47, 32,165.79 and 13,748.46 is: 18,972.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,308.47 : 32,165.79 = 13,748.46 : x
  2. Step 2: Convert to fraction form
    23,308.47/32,165.79 = 13,748.46/x
  3. Step 3: Cross multiply
    23,308.47x = 32,165.79 × 13,748.46
  4. Step 4: Simplify right side
    23,308.47x = 442,230,077.18
  5. Step 5: Solve for x
    x = 442,230,077.18/23,308.47
  6. Step 6: Final answer
    x = 18,972.93

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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.