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Finding the Fourth Proportional to 24,328.90, 36,490.22 and 7,690.61

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Solution

The fourth proportional to 24,328.90, 36,490.22 and 7,690.61 is: 11,534.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,328.90 : 36,490.22 = 7,690.61 : x
  2. Step 2: Convert to fraction form
    24,328.90/36,490.22 = 7,690.61/x
  3. Step 3: Cross multiply
    24,328.90x = 36,490.22 × 7,690.61
  4. Step 4: Simplify right side
    24,328.90x = 280,632,103.61
  5. Step 5: Solve for x
    x = 280,632,103.61/24,328.90
  6. Step 6: Final answer
    x = 11,534.93

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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.