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Finding the Fourth Proportional to 11,998.65, 17,957.93 and 9,029.90

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Solution

The fourth proportional to 11,998.65, 17,957.93 and 9,029.90 is: 13,514.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.65 : 17,957.93 = 9,029.90 : x
  2. Step 2: Convert to fraction form
    11,998.65/17,957.93 = 9,029.90/x
  3. Step 3: Cross multiply
    11,998.65x = 17,957.93 × 9,029.90
  4. Step 4: Simplify right side
    11,998.65x = 162,158,177.17
  5. Step 5: Solve for x
    x = 162,158,177.17/11,998.65
  6. Step 6: Final answer
    x = 13,514.70

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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.