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Finding the Fourth Proportional to 15,733.41, 23,595.06 and 5,201.46

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Solution

The fourth proportional to 15,733.41, 23,595.06 and 5,201.46 is: 7,800.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,733.41 : 23,595.06 = 5,201.46 : x
  2. Step 2: Convert to fraction form
    15,733.41/23,595.06 = 5,201.46/x
  3. Step 3: Cross multiply
    15,733.41x = 23,595.06 × 5,201.46
  4. Step 4: Simplify right side
    15,733.41x = 122,728,760.79
  5. Step 5: Solve for x
    x = 122,728,760.79/15,733.41
  6. Step 6: Final answer
    x = 7,800.52

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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.