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Finding the Fourth Proportional to 14,728.40, 22,077.16 and 7,221.63

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Solution

The fourth proportional to 14,728.40, 22,077.16 and 7,221.63 is: 10,824.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,728.40 : 22,077.16 = 7,221.63 : x
  2. Step 2: Convert to fraction form
    14,728.40/22,077.16 = 7,221.63/x
  3. Step 3: Cross multiply
    14,728.40x = 22,077.16 × 7,221.63
  4. Step 4: Simplify right side
    14,728.40x = 159,433,062.92
  5. Step 5: Solve for x
    x = 159,433,062.92/14,728.40
  6. Step 6: Final answer
    x = 10,824.88

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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.