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Finding the Fourth Proportional to 24,073.15, 33,234 and 14,514.74

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Solution

The fourth proportional to 24,073.15, 33,234 and 14,514.74 is: 20,038.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,073.15 : 33,234 = 14,514.74 : x
  2. Step 2: Convert to fraction form
    24,073.15/33,234 = 14,514.74/x
  3. Step 3: Cross multiply
    24,073.15x = 33,234 × 14,514.74
  4. Step 4: Simplify right side
    24,073.15x = 482,382,869.16
  5. Step 5: Solve for x
    x = 482,382,869.16/24,073.15
  6. Step 6: Final answer
    x = 20,038.21

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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.