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Finding the Fourth Proportional to 23,193.69, 32,023.94 and 14,253.18

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Solution

The fourth proportional to 23,193.69, 32,023.94 and 14,253.18 is: 19,679.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193.69 : 32,023.94 = 14,253.18 : x
  2. Step 2: Convert to fraction form
    23,193.69/32,023.94 = 14,253.18/x
  3. Step 3: Cross multiply
    23,193.69x = 32,023.94 × 14,253.18
  4. Step 4: Simplify right side
    23,193.69x = 456,442,909.86
  5. Step 5: Solve for x
    x = 456,442,909.86/23,193.69
  6. Step 6: Final answer
    x = 19,679.62

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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.