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Finding the Fourth Proportional to 24,479.11, 36,724.07 and 7,840.50

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Solution

The fourth proportional to 24,479.11, 36,724.07 and 7,840.50 is: 11,762.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,479.11 : 36,724.07 = 7,840.50 : x
  2. Step 2: Convert to fraction form
    24,479.11/36,724.07 = 7,840.50/x
  3. Step 3: Cross multiply
    24,479.11x = 36,724.07 × 7,840.50
  4. Step 4: Simplify right side
    24,479.11x = 287,935,070.84
  5. Step 5: Solve for x
    x = 287,935,070.84/24,479.11
  6. Step 6: Final answer
    x = 11,762.48

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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.