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Finding the Fourth Proportional to 24,656.32, 36,966 and 8,006.40

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Solution

The fourth proportional to 24,656.32, 36,966 and 8,006.40 is: 12,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,656.32 : 36,966 = 8,006.40 : x
  2. Step 2: Convert to fraction form
    24,656.32/36,966 = 8,006.40/x
  3. Step 3: Cross multiply
    24,656.32x = 36,966 × 8,006.40
  4. Step 4: Simplify right side
    24,656.32x = 295,964,582.40
  5. Step 5: Solve for x
    x = 295,964,582.40/24,656.32
  6. Step 6: Final answer
    x = 12,003.60

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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.