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Finding the Fourth Proportional to 24,724.91, 37,086.96 and 6,005.10

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Solution

The fourth proportional to 24,724.91, 37,086.96 and 6,005.10 is: 9,007.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,724.91 : 37,086.96 = 6,005.10 : x
  2. Step 2: Convert to fraction form
    24,724.91/37,086.96 = 6,005.10/x
  3. Step 3: Cross multiply
    24,724.91x = 37,086.96 × 6,005.10
  4. Step 4: Simplify right side
    24,724.91x = 222,710,903.50
  5. Step 5: Solve for x
    x = 222,710,903.50/24,724.91
  6. Step 6: Final answer
    x = 9,007.55

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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.