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Finding the Fourth Proportional to 15,494.50, 21,382 and 8,779.96

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Solution

The fourth proportional to 15,494.50, 21,382 and 8,779.96 is: 12,116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,494.50 : 21,382 = 8,779.96 : x
  2. Step 2: Convert to fraction form
    15,494.50/21,382 = 8,779.96/x
  3. Step 3: Cross multiply
    15,494.50x = 21,382 × 8,779.96
  4. Step 4: Simplify right side
    15,494.50x = 187,733,104.72
  5. Step 5: Solve for x
    x = 187,733,104.72/15,494.50
  6. Step 6: Final answer
    x = 12,116.11

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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.