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Finding the Fourth Proportional to 23,267.71, 32,109.78 and 14,309.92

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Solution

The fourth proportional to 23,267.71, 32,109.78 and 14,309.92 is: 19,747.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,267.71 : 32,109.78 = 14,309.92 : x
  2. Step 2: Convert to fraction form
    23,267.71/32,109.78 = 14,309.92/x
  3. Step 3: Cross multiply
    23,267.71x = 32,109.78 × 14,309.92
  4. Step 4: Simplify right side
    23,267.71x = 459,488,383.02
  5. Step 5: Solve for x
    x = 459,488,383.02/23,267.71
  6. Step 6: Final answer
    x = 19,747.90

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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.