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Finding the Fourth Proportional to 14,480.10, 21,737.70 and 9,215.10

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Solution

The fourth proportional to 14,480.10, 21,737.70 and 9,215.10 is: 13,833.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,480.10 : 21,737.70 = 9,215.10 : x
  2. Step 2: Convert to fraction form
    14,480.10/21,737.70 = 9,215.10/x
  3. Step 3: Cross multiply
    14,480.10x = 21,737.70 × 9,215.10
  4. Step 4: Simplify right side
    14,480.10x = 200,315,079.27
  5. Step 5: Solve for x
    x = 200,315,079.27/14,480.10
  6. Step 6: Final answer
    x = 13,833.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.