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Finding the Fourth Proportional to 24,866, 37,299.36 and 9,283.76

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Solution

The fourth proportional to 24,866, 37,299.36 and 9,283.76 is: 13,925.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,866 : 37,299.36 = 9,283.76 : x
  2. Step 2: Convert to fraction form
    24,866/37,299.36 = 9,283.76/x
  3. Step 3: Cross multiply
    24,866x = 37,299.36 × 9,283.76
  4. Step 4: Simplify right side
    24,866x = 346,278,306.39
  5. Step 5: Solve for x
    x = 346,278,306.39/24,866
  6. Step 6: Final answer
    x = 13,925.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.