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Finding the Fourth Proportional to 24,872.56, 34,322.04 and 14,259.76

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Solution

The fourth proportional to 24,872.56, 34,322.04 and 14,259.76 is: 19,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,872.56 : 34,322.04 = 14,259.76 : x
  2. Step 2: Convert to fraction form
    24,872.56/34,322.04 = 14,259.76/x
  3. Step 3: Cross multiply
    24,872.56x = 34,322.04 × 14,259.76
  4. Step 4: Simplify right side
    24,872.56x = 489,424,053.11
  5. Step 5: Solve for x
    x = 489,424,053.11/24,872.56
  6. Step 6: Final answer
    x = 19,677.27

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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.