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Finding the Fourth Proportional to 24,574.41, 36,856.76 and 7,046.01

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Solution

The fourth proportional to 24,574.41, 36,856.76 and 7,046.01 is: 10,567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,574.41 : 36,856.76 = 7,046.01 : x
  2. Step 2: Convert to fraction form
    24,574.41/36,856.76 = 7,046.01/x
  3. Step 3: Cross multiply
    24,574.41x = 36,856.76 × 7,046.01
  4. Step 4: Simplify right side
    24,574.41x = 259,693,064.30
  5. Step 5: Solve for x
    x = 259,693,064.30/24,574.41
  6. Step 6: Final answer
    x = 10,567.62

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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.