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Finding the Fourth Proportional to 27,646.68, 41,471.10 and 6,870.72

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Solution

The fourth proportional to 27,646.68, 41,471.10 and 6,870.72 is: 10,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,646.68 : 41,471.10 = 6,870.72 : x
  2. Step 2: Convert to fraction form
    27,646.68/41,471.10 = 6,870.72/x
  3. Step 3: Cross multiply
    27,646.68x = 41,471.10 × 6,870.72
  4. Step 4: Simplify right side
    27,646.68x = 284,936,316.19
  5. Step 5: Solve for x
    x = 284,936,316.19/27,646.68
  6. Step 6: Final answer
    x = 10,306.35

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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.