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Finding the Fourth Proportional to 24,310.90, 36,465.34 and 7,682.88

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Solution

The fourth proportional to 24,310.90, 36,465.34 and 7,682.88 is: 11,524.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,310.90 : 36,465.34 = 7,682.88 : x
  2. Step 2: Convert to fraction form
    24,310.90/36,465.34 = 7,682.88/x
  3. Step 3: Cross multiply
    24,310.90x = 36,465.34 × 7,682.88
  4. Step 4: Simplify right side
    24,310.90x = 280,158,831.38
  5. Step 5: Solve for x
    x = 280,158,831.38/24,310.90
  6. Step 6: Final answer
    x = 11,524.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.