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Finding the Fourth Proportional to 15,281.96, 22,903.82 and 8,261.72

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Solution

The fourth proportional to 15,281.96, 22,903.82 and 8,261.72 is: 12,382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,281.96 : 22,903.82 = 8,261.72 : x
  2. Step 2: Convert to fraction form
    15,281.96/22,903.82 = 8,261.72/x
  3. Step 3: Cross multiply
    15,281.96x = 22,903.82 × 8,261.72
  4. Step 4: Simplify right side
    15,281.96x = 189,224,947.77
  5. Step 5: Solve for x
    x = 189,224,947.77/15,281.96
  6. Step 6: Final answer
    x = 12,382.24

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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.