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Finding the Fourth Proportional to 23,350.50, 32,223.70 and 14,967

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Solution

The fourth proportional to 23,350.50, 32,223.70 and 14,967 is: 20,654.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,350.50 : 32,223.70 = 14,967 : x
  2. Step 2: Convert to fraction form
    23,350.50/32,223.70 = 14,967/x
  3. Step 3: Cross multiply
    23,350.50x = 32,223.70 × 14,967
  4. Step 4: Simplify right side
    23,350.50x = 482,292,117.90
  5. Step 5: Solve for x
    x = 482,292,117.90/23,350.50
  6. Step 6: Final answer
    x = 20,654.47

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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.