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Finding the Fourth Proportional to 22,902.57, 31,599.36 and 14,838.66

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Solution

The fourth proportional to 22,902.57, 31,599.36 and 14,838.66 is: 20,473.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.57 : 31,599.36 = 14,838.66 : x
  2. Step 2: Convert to fraction form
    22,902.57/31,599.36 = 14,838.66/x
  3. Step 3: Cross multiply
    22,902.57x = 31,599.36 × 14,838.66
  4. Step 4: Simplify right side
    22,902.57x = 468,892,159.26
  5. Step 5: Solve for x
    x = 468,892,159.26/22,902.57
  6. Step 6: Final answer
    x = 20,473.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.