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Finding the Fourth Proportional to 15,494.48, 21,382.80 and 8,421.38

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Solution

The fourth proportional to 15,494.48, 21,382.80 and 8,421.38 is: 11,621.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,494.48 : 21,382.80 = 8,421.38 : x
  2. Step 2: Convert to fraction form
    15,494.48/21,382.80 = 8,421.38/x
  3. Step 3: Cross multiply
    15,494.48x = 21,382.80 × 8,421.38
  4. Step 4: Simplify right side
    15,494.48x = 180,072,684.26
  5. Step 5: Solve for x
    x = 180,072,684.26/15,494.48
  6. Step 6: Final answer
    x = 11,621.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.