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Finding the Fourth Proportional to 30,616.10, 42,247.86 and 17,184.74

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Solution

The fourth proportional to 30,616.10, 42,247.86 and 17,184.74 is: 23,713.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,616.10 : 42,247.86 = 17,184.74 : x
  2. Step 2: Convert to fraction form
    30,616.10/42,247.86 = 17,184.74/x
  3. Step 3: Cross multiply
    30,616.10x = 42,247.86 × 17,184.74
  4. Step 4: Simplify right side
    30,616.10x = 726,018,278.42
  5. Step 5: Solve for x
    x = 726,018,278.42/30,616.10
  6. Step 6: Final answer
    x = 23,713.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.