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Finding the Fourth Proportional to 24,894, 34,353.72 and 13,716

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Solution

The fourth proportional to 24,894, 34,353.72 and 13,716 is: 18,928.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,894 : 34,353.72 = 13,716 : x
  2. Step 2: Convert to fraction form
    24,894/34,353.72 = 13,716/x
  3. Step 3: Cross multiply
    24,894x = 34,353.72 × 13,716
  4. Step 4: Simplify right side
    24,894x = 471,195,623.52
  5. Step 5: Solve for x
    x = 471,195,623.52/24,894
  6. Step 6: Final answer
    x = 18,928.08

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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.