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Finding the Fourth Proportional to 12,002.40, 17,975.79 and 11,587.14

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Solution

The fourth proportional to 12,002.40, 17,975.79 and 11,587.14 is: 17,353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.40 : 17,975.79 = 11,587.14 : x
  2. Step 2: Convert to fraction form
    12,002.40/17,975.79 = 11,587.14/x
  3. Step 3: Cross multiply
    12,002.40x = 17,975.79 × 11,587.14
  4. Step 4: Simplify right side
    12,002.40x = 208,287,995.34
  5. Step 5: Solve for x
    x = 208,287,995.34/12,002.40
  6. Step 6: Final answer
    x = 17,353.86

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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.