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Finding the Fourth Proportional to 13,444.38, 18,552.24 and 7,475.76

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Solution

The fourth proportional to 13,444.38, 18,552.24 and 7,475.76 is: 10,315.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,444.38 : 18,552.24 = 7,475.76 : x
  2. Step 2: Convert to fraction form
    13,444.38/18,552.24 = 7,475.76/x
  3. Step 3: Cross multiply
    13,444.38x = 18,552.24 × 7,475.76
  4. Step 4: Simplify right side
    13,444.38x = 138,692,093.70
  5. Step 5: Solve for x
    x = 138,692,093.70/13,444.38
  6. Step 6: Final answer
    x = 10,315.99

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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.