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Finding the Fourth Proportional to 11,962.88, 16,508.15 and 9,132.23

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Solution

The fourth proportional to 11,962.88, 16,508.15 and 9,132.23 is: 12,602.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,962.88 : 16,508.15 = 9,132.23 : x
  2. Step 2: Convert to fraction form
    11,962.88/16,508.15 = 9,132.23/x
  3. Step 3: Cross multiply
    11,962.88x = 16,508.15 × 9,132.23
  4. Step 4: Simplify right side
    11,962.88x = 150,756,094.47
  5. Step 5: Solve for x
    x = 150,756,094.47/11,962.88
  6. Step 6: Final answer
    x = 12,602.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.