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Finding the Fourth Proportional to 21,176.61, 31,767.84 and 7,140.65

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Solution

The fourth proportional to 21,176.61, 31,767.84 and 7,140.65 is: 10,711.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,176.61 : 31,767.84 = 7,140.65 : x
  2. Step 2: Convert to fraction form
    21,176.61/31,767.84 = 7,140.65/x
  3. Step 3: Cross multiply
    21,176.61x = 31,767.84 × 7,140.65
  4. Step 4: Simplify right side
    21,176.61x = 226,842,832.15
  5. Step 5: Solve for x
    x = 226,842,832.15/21,176.61
  6. Step 6: Final answer
    x = 10,711.95

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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.