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Finding the Fourth Proportional to 15,216.32, 22,820.76 and 7,811.36

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Solution

The fourth proportional to 15,216.32, 22,820.76 and 7,811.36 is: 11,715.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,216.32 : 22,820.76 = 7,811.36 : x
  2. Step 2: Convert to fraction form
    15,216.32/22,820.76 = 7,811.36/x
  3. Step 3: Cross multiply
    15,216.32x = 22,820.76 × 7,811.36
  4. Step 4: Simplify right side
    15,216.32x = 178,261,171.83
  5. Step 5: Solve for x
    x = 178,261,171.83/15,216.32
  6. Step 6: Final answer
    x = 11,715.13

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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.