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Finding the Fourth Proportional to 22,038.30, 33,082.10 and 14,657.22

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Solution

The fourth proportional to 22,038.30, 33,082.10 and 14,657.22 is: 22,002.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,038.30 : 33,082.10 = 14,657.22 : x
  2. Step 2: Convert to fraction form
    22,038.30/33,082.10 = 14,657.22/x
  3. Step 3: Cross multiply
    22,038.30x = 33,082.10 × 14,657.22
  4. Step 4: Simplify right side
    22,038.30x = 484,891,617.76
  5. Step 5: Solve for x
    x = 484,891,617.76/22,038.30
  6. Step 6: Final answer
    x = 22,002.22

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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.