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Finding the Fourth Proportional to 12,698.68, 19,077.22 and 8,959.06

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Solution

The fourth proportional to 12,698.68, 19,077.22 and 8,959.06 is: 13,459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.68 : 19,077.22 = 8,959.06 : x
  2. Step 2: Convert to fraction form
    12,698.68/19,077.22 = 8,959.06/x
  3. Step 3: Cross multiply
    12,698.68x = 19,077.22 × 8,959.06
  4. Step 4: Simplify right side
    12,698.68x = 170,914,047.31
  5. Step 5: Solve for x
    x = 170,914,047.31/12,698.68
  6. Step 6: Final answer
    x = 13,459.20

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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.