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Finding the Fourth Proportional to 14,132.62, 19,502.04 and 7,844.50

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Solution

The fourth proportional to 14,132.62, 19,502.04 and 7,844.50 is: 10,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,132.62 : 19,502.04 = 7,844.50 : x
  2. Step 2: Convert to fraction form
    14,132.62/19,502.04 = 7,844.50/x
  3. Step 3: Cross multiply
    14,132.62x = 19,502.04 × 7,844.50
  4. Step 4: Simplify right side
    14,132.62x = 152,983,752.78
  5. Step 5: Solve for x
    x = 152,983,752.78/14,132.62
  6. Step 6: Final answer
    x = 10,824.87

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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.