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Finding the Fourth Proportional to 12,132.78, 18,166.80 and 7,131.02

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Solution

The fourth proportional to 12,132.78, 18,166.80 and 7,131.02 is: 10,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.78 : 18,166.80 = 7,131.02 : x
  2. Step 2: Convert to fraction form
    12,132.78/18,166.80 = 7,131.02/x
  3. Step 3: Cross multiply
    12,132.78x = 18,166.80 × 7,131.02
  4. Step 4: Simplify right side
    12,132.78x = 129,547,814.14
  5. Step 5: Solve for x
    x = 129,547,814.14/12,132.78
  6. Step 6: Final answer
    x = 10,677.50

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Why These Related Problems?

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