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Finding the Fourth Proportional to 13,756.32, 18,983.76 and 7,468.72

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Solution

The fourth proportional to 13,756.32, 18,983.76 and 7,468.72 is: 10,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.32 : 18,983.76 = 7,468.72 : x
  2. Step 2: Convert to fraction form
    13,756.32/18,983.76 = 7,468.72/x
  3. Step 3: Cross multiply
    13,756.32x = 18,983.76 × 7,468.72
  4. Step 4: Simplify right side
    13,756.32x = 141,784,387.99
  5. Step 5: Solve for x
    x = 141,784,387.99/13,756.32
  6. Step 6: Final answer
    x = 10,306.85

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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.