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Finding the Fourth Proportional to 15,206.88, 22,807.86 and 5,343.86

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Solution

The fourth proportional to 15,206.88, 22,807.86 and 5,343.86 is: 8,014.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,206.88 : 22,807.86 = 5,343.86 : x
  2. Step 2: Convert to fraction form
    15,206.88/22,807.86 = 5,343.86/x
  3. Step 3: Cross multiply
    15,206.88x = 22,807.86 × 5,343.86
  4. Step 4: Simplify right side
    15,206.88x = 121,882,010.74
  5. Step 5: Solve for x
    x = 121,882,010.74/15,206.88
  6. Step 6: Final answer
    x = 8,014.93

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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.