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Finding the Fourth Proportional to 24,344.72, 33,605.16 and 14,282

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Solution

The fourth proportional to 24,344.72, 33,605.16 and 14,282 is: 19,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,344.72 : 33,605.16 = 14,282 : x
  2. Step 2: Convert to fraction form
    24,344.72/33,605.16 = 14,282/x
  3. Step 3: Cross multiply
    24,344.72x = 33,605.16 × 14,282
  4. Step 4: Simplify right side
    24,344.72x = 479,948,895.12
  5. Step 5: Solve for x
    x = 479,948,895.12/24,344.72
  6. Step 6: Final answer
    x = 19,714.70

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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.