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Finding the Fourth Proportional to 13,159.68, 19,744.08 and 8,099.52

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Solution

The fourth proportional to 13,159.68, 19,744.08 and 8,099.52 is: 12,152.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,159.68 : 19,744.08 = 8,099.52 : x
  2. Step 2: Convert to fraction form
    13,159.68/19,744.08 = 8,099.52/x
  3. Step 3: Cross multiply
    13,159.68x = 19,744.08 × 8,099.52
  4. Step 4: Simplify right side
    13,159.68x = 159,917,570.84
  5. Step 5: Solve for x
    x = 159,917,570.84/13,159.68
  6. Step 6: Final answer
    x = 12,152.09

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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.