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Finding the Fourth Proportional to 15,843.68, 23,765.40 and 4,156.72

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Solution

The fourth proportional to 15,843.68, 23,765.40 and 4,156.72 is: 6,235.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,843.68 : 23,765.40 = 4,156.72 : x
  2. Step 2: Convert to fraction form
    15,843.68/23,765.40 = 4,156.72/x
  3. Step 3: Cross multiply
    15,843.68x = 23,765.40 × 4,156.72
  4. Step 4: Simplify right side
    15,843.68x = 98,786,113.49
  5. Step 5: Solve for x
    x = 98,786,113.49/15,843.68
  6. Step 6: Final answer
    x = 6,235.05

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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.