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Finding the Fourth Proportional to 12,349.44, 18,528 and 9,265.92

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Solution

The fourth proportional to 12,349.44, 18,528 and 9,265.92 is: 13,901.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,349.44 : 18,528 = 9,265.92 : x
  2. Step 2: Convert to fraction form
    12,349.44/18,528 = 9,265.92/x
  3. Step 3: Cross multiply
    12,349.44x = 18,528 × 9,265.92
  4. Step 4: Simplify right side
    12,349.44x = 171,678,965.76
  5. Step 5: Solve for x
    x = 171,678,965.76/12,349.44
  6. Step 6: Final answer
    x = 13,901.76

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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.