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Finding the Fourth Proportional to 15,913.44, 23,862.06 and 6,045.21

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Solution

The fourth proportional to 15,913.44, 23,862.06 and 6,045.21 is: 9,064.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,913.44 : 23,862.06 = 6,045.21 : x
  2. Step 2: Convert to fraction form
    15,913.44/23,862.06 = 6,045.21/x
  3. Step 3: Cross multiply
    15,913.44x = 23,862.06 × 6,045.21
  4. Step 4: Simplify right side
    15,913.44x = 144,251,163.73
  5. Step 5: Solve for x
    x = 144,251,163.73/15,913.44
  6. Step 6: Final answer
    x = 9,064.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.