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Finding the Fourth Proportional to 21,439.88, 32,154 and 8,957.29

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Solution

The fourth proportional to 21,439.88, 32,154 and 8,957.29 is: 13,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,439.88 : 32,154 = 8,957.29 : x
  2. Step 2: Convert to fraction form
    21,439.88/32,154 = 8,957.29/x
  3. Step 3: Cross multiply
    21,439.88x = 32,154 × 8,957.29
  4. Step 4: Simplify right side
    21,439.88x = 288,012,622.28
  5. Step 5: Solve for x
    x = 288,012,622.28/21,439.88
  6. Step 6: Final answer
    x = 13,433.50

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Why These Related Problems?

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