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Finding the Fourth Proportional to 15,219.70, 22,824.08 and 5,854.93

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Solution

The fourth proportional to 15,219.70, 22,824.08 and 5,854.93 is: 8,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,219.70 : 22,824.08 = 5,854.93 : x
  2. Step 2: Convert to fraction form
    15,219.70/22,824.08 = 5,854.93/x
  3. Step 3: Cross multiply
    15,219.70x = 22,824.08 × 5,854.93
  4. Step 4: Simplify right side
    15,219.70x = 133,633,454.72
  5. Step 5: Solve for x
    x = 133,633,454.72/15,219.70
  6. Step 6: Final answer
    x = 8,780.30

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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.