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Finding the Fourth Proportional to 13,756.40, 18,983.58 and 7,468.64

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Solution

The fourth proportional to 13,756.40, 18,983.58 and 7,468.64 is: 10,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.40 : 18,983.58 = 7,468.64 : x
  2. Step 2: Convert to fraction form
    13,756.40/18,983.58 = 7,468.64/x
  3. Step 3: Cross multiply
    13,756.40x = 18,983.58 × 7,468.64
  4. Step 4: Simplify right side
    13,756.40x = 141,781,524.93
  5. Step 5: Solve for x
    x = 141,781,524.93/13,756.40
  6. Step 6: Final answer
    x = 10,306.59

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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.