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Finding the Fourth Proportional to 15,102.83, 22,649.10 and 5,740.59

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Solution

The fourth proportional to 15,102.83, 22,649.10 and 5,740.59 is: 8,608.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.83 : 22,649.10 = 5,740.59 : x
  2. Step 2: Convert to fraction form
    15,102.83/22,649.10 = 5,740.59/x
  3. Step 3: Cross multiply
    15,102.83x = 22,649.10 × 5,740.59
  4. Step 4: Simplify right side
    15,102.83x = 130,019,196.97
  5. Step 5: Solve for x
    x = 130,019,196.97/15,102.83
  6. Step 6: Final answer
    x = 8,608.93

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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.