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Finding the Fourth Proportional to 22,101.76, 30,490.24 and 14,140.16

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Solution

The fourth proportional to 22,101.76, 30,490.24 and 14,140.16 is: 19,506.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,101.76 : 30,490.24 = 14,140.16 : x
  2. Step 2: Convert to fraction form
    22,101.76/30,490.24 = 14,140.16/x
  3. Step 3: Cross multiply
    22,101.76x = 30,490.24 × 14,140.16
  4. Step 4: Simplify right side
    22,101.76x = 431,136,872.04
  5. Step 5: Solve for x
    x = 431,136,872.04/22,101.76
  6. Step 6: Final answer
    x = 19,506.90

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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.