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Finding the Fourth Proportional to 22,816, 34,152.31 and 14,505.40

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Solution

The fourth proportional to 22,816, 34,152.31 and 14,505.40 is: 21,712.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,816 : 34,152.31 = 14,505.40 : x
  2. Step 2: Convert to fraction form
    22,816/34,152.31 = 14,505.40/x
  3. Step 3: Cross multiply
    22,816x = 34,152.31 × 14,505.40
  4. Step 4: Simplify right side
    22,816x = 495,392,917.47
  5. Step 5: Solve for x
    x = 495,392,917.47/22,816
  6. Step 6: Final answer
    x = 21,712.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.