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Finding the Fourth Proportional to 24,162.95, 36,254.86 and 13,077.46

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Solution

The fourth proportional to 24,162.95, 36,254.86 and 13,077.46 is: 19,621.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,162.95 : 36,254.86 = 13,077.46 : x
  2. Step 2: Convert to fraction form
    24,162.95/36,254.86 = 13,077.46/x
  3. Step 3: Cross multiply
    24,162.95x = 36,254.86 × 13,077.46
  4. Step 4: Simplify right side
    24,162.95x = 474,121,481.46
  5. Step 5: Solve for x
    x = 474,121,481.46/24,162.95
  6. Step 6: Final answer
    x = 19,621.84

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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.