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Finding the Fourth Proportional to 14,937.31, 20,613.54 and 8,223.40

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Solution

The fourth proportional to 14,937.31, 20,613.54 and 8,223.40 is: 11,348.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,937.31 : 20,613.54 = 8,223.40 : x
  2. Step 2: Convert to fraction form
    14,937.31/20,613.54 = 8,223.40/x
  3. Step 3: Cross multiply
    14,937.31x = 20,613.54 × 8,223.40
  4. Step 4: Simplify right side
    14,937.31x = 169,513,384.84
  5. Step 5: Solve for x
    x = 169,513,384.84/14,937.31
  6. Step 6: Final answer
    x = 11,348.32

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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.