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Finding the Fourth Proportional to 15,116, 22,636.82 and 10,422.86

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Solution

The fourth proportional to 15,116, 22,636.82 and 10,422.86 is: 15,608.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,116 : 22,636.82 = 10,422.86 : x
  2. Step 2: Convert to fraction form
    15,116/22,636.82 = 10,422.86/x
  3. Step 3: Cross multiply
    15,116x = 22,636.82 × 10,422.86
  4. Step 4: Simplify right side
    15,116x = 235,940,405.71
  5. Step 5: Solve for x
    x = 235,940,405.71/15,116
  6. Step 6: Final answer
    x = 15,608.65

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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.