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Finding the Fourth Proportional to 10,240.76, 14,189.32 and 10,019.32

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Solution

The fourth proportional to 10,240.76, 14,189.32 and 10,019.32 is: 13,882.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,240.76 : 14,189.32 = 10,019.32 : x
  2. Step 2: Convert to fraction form
    10,240.76/14,189.32 = 10,019.32/x
  3. Step 3: Cross multiply
    10,240.76x = 14,189.32 × 10,019.32
  4. Step 4: Simplify right side
    10,240.76x = 142,167,337.66
  5. Step 5: Solve for x
    x = 142,167,337.66/10,240.76
  6. Step 6: Final answer
    x = 13,882.50

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.