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Finding the Fourth Proportional to 14,957.16, 22,407 and 8,363.34

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Solution

The fourth proportional to 14,957.16, 22,407 and 8,363.34 is: 12,528.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,957.16 : 22,407 = 8,363.34 : x
  2. Step 2: Convert to fraction form
    14,957.16/22,407 = 8,363.34/x
  3. Step 3: Cross multiply
    14,957.16x = 22,407 × 8,363.34
  4. Step 4: Simplify right side
    14,957.16x = 187,397,359.38
  5. Step 5: Solve for x
    x = 187,397,359.38/14,957.16
  6. Step 6: Final answer
    x = 12,528.94

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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.