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Finding the Fourth Proportional to 22,732.74, 34,235.96 and 20,133

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Solution

The fourth proportional to 22,732.74, 34,235.96 and 20,133 is: 30,320.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,732.74 : 34,235.96 = 20,133 : x
  2. Step 2: Convert to fraction form
    22,732.74/34,235.96 = 20,133/x
  3. Step 3: Cross multiply
    22,732.74x = 34,235.96 × 20,133
  4. Step 4: Simplify right side
    22,732.74x = 689,272,482.02
  5. Step 5: Solve for x
    x = 689,272,482.02/22,732.74
  6. Step 6: Final answer
    x = 30,320.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.