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Finding the Fourth Proportional to 22,731.36, 34,047.76 and 11,020

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Solution

The fourth proportional to 22,731.36, 34,047.76 and 11,020 is: 16,506.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,731.36 : 34,047.76 = 11,020 : x
  2. Step 2: Convert to fraction form
    22,731.36/34,047.76 = 11,020/x
  3. Step 3: Cross multiply
    22,731.36x = 34,047.76 × 11,020
  4. Step 4: Simplify right side
    22,731.36x = 375,206,315.20
  5. Step 5: Solve for x
    x = 375,206,315.20/22,731.36
  6. Step 6: Final answer
    x = 16,506.11

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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.