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Finding the Fourth Proportional to 10,686.16, 16,109.32 and 9,972.64

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Solution

The fourth proportional to 10,686.16, 16,109.32 and 9,972.64 is: 15,033.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.16 : 16,109.32 = 9,972.64 : x
  2. Step 2: Convert to fraction form
    10,686.16/16,109.32 = 9,972.64/x
  3. Step 3: Cross multiply
    10,686.16x = 16,109.32 × 9,972.64
  4. Step 4: Simplify right side
    10,686.16x = 160,652,449.00
  5. Step 5: Solve for x
    x = 160,652,449.00/10,686.16
  6. Step 6: Final answer
    x = 15,033.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.