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Finding the Fourth Proportional to 14,972.80, 20,660.82 and 8,258.00

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Solution

The fourth proportional to 14,972.80, 20,660.82 and 8,258.00 is: 11,395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,972.80 : 20,660.82 = 8,258.00 : x
  2. Step 2: Convert to fraction form
    14,972.80/20,660.82 = 8,258.00/x
  3. Step 3: Cross multiply
    14,972.80x = 20,660.82 × 8,258.00
  4. Step 4: Simplify right side
    14,972.80x = 170,617,079.96
  5. Step 5: Solve for x
    x = 170,617,079.96/14,972.80
  6. Step 6: Final answer
    x = 11,395.14

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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.