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Finding the Fourth Proportional to 11,970.14, 16,520.76 and 9,132.16

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Solution

The fourth proportional to 11,970.14, 16,520.76 and 9,132.16 is: 12,603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.14 : 16,520.76 = 9,132.16 : x
  2. Step 2: Convert to fraction form
    11,970.14/16,520.76 = 9,132.16/x
  3. Step 3: Cross multiply
    11,970.14x = 16,520.76 × 9,132.16
  4. Step 4: Simplify right side
    11,970.14x = 150,870,223.64
  5. Step 5: Solve for x
    x = 150,870,223.64/11,970.14
  6. Step 6: Final answer
    x = 12,603.88

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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.