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Finding the Fourth Proportional to 23,188.65, 32,000.58 and 13,117.20

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Solution

The fourth proportional to 23,188.65, 32,000.58 and 13,117.20 is: 18,101.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,188.65 : 32,000.58 = 13,117.20 : x
  2. Step 2: Convert to fraction form
    23,188.65/32,000.58 = 13,117.20/x
  3. Step 3: Cross multiply
    23,188.65x = 32,000.58 × 13,117.20
  4. Step 4: Simplify right side
    23,188.65x = 419,758,007.98
  5. Step 5: Solve for x
    x = 419,758,007.98/23,188.65
  6. Step 6: Final answer
    x = 18,101.87

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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.