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Finding the Fourth Proportional to 12,899.12, 19,366.63 and 6,663.74

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Solution

The fourth proportional to 12,899.12, 19,366.63 and 6,663.74 is: 10,004.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,899.12 : 19,366.63 = 6,663.74 : x
  2. Step 2: Convert to fraction form
    12,899.12/19,366.63 = 6,663.74/x
  3. Step 3: Cross multiply
    12,899.12x = 19,366.63 × 6,663.74
  4. Step 4: Simplify right side
    12,899.12x = 129,054,073.50
  5. Step 5: Solve for x
    x = 129,054,073.50/12,899.12
  6. Step 6: Final answer
    x = 10,004.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.