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Finding the Fourth Proportional to 14,686.64, 20,267.57 and 7,972.26

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Solution

The fourth proportional to 14,686.64, 20,267.57 and 7,972.26 is: 11,001.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686.64 : 20,267.57 = 7,972.26 : x
  2. Step 2: Convert to fraction form
    14,686.64/20,267.57 = 7,972.26/x
  3. Step 3: Cross multiply
    14,686.64x = 20,267.57 × 7,972.26
  4. Step 4: Simplify right side
    14,686.64x = 161,578,322.20
  5. Step 5: Solve for x
    x = 161,578,322.20/14,686.64
  6. Step 6: Final answer
    x = 11,001.73

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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.