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Finding the Fourth Proportional to 24,376.64, 36,565.29 and 8,582.18

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Solution

The fourth proportional to 24,376.64, 36,565.29 and 8,582.18 is: 12,873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,376.64 : 36,565.29 = 8,582.18 : x
  2. Step 2: Convert to fraction form
    24,376.64/36,565.29 = 8,582.18/x
  3. Step 3: Cross multiply
    24,376.64x = 36,565.29 × 8,582.18
  4. Step 4: Simplify right side
    24,376.64x = 313,809,717.71
  5. Step 5: Solve for x
    x = 313,809,717.71/24,376.64
  6. Step 6: Final answer
    x = 12,873.38

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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.