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Finding the Fourth Proportional to 24,894, 34,353.72 and 14,283.18

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Solution

The fourth proportional to 24,894, 34,353.72 and 14,283.18 is: 19,710.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,894 : 34,353.72 = 14,283.18 : x
  2. Step 2: Convert to fraction form
    24,894/34,353.72 = 14,283.18/x
  3. Step 3: Cross multiply
    24,894x = 34,353.72 × 14,283.18
  4. Step 4: Simplify right side
    24,894x = 490,680,366.43
  5. Step 5: Solve for x
    x = 490,680,366.43/24,894
  6. Step 6: Final answer
    x = 19,710.79

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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.