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Finding the Fourth Proportional to 24,457.32, 36,663.96 and 8,864

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Solution

The fourth proportional to 24,457.32, 36,663.96 and 8,864 is: 13,288.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,457.32 : 36,663.96 = 8,864 : x
  2. Step 2: Convert to fraction form
    24,457.32/36,663.96 = 8,864/x
  3. Step 3: Cross multiply
    24,457.32x = 36,663.96 × 8,864
  4. Step 4: Simplify right side
    24,457.32x = 324,989,341.44
  5. Step 5: Solve for x
    x = 324,989,341.44/24,457.32
  6. Step 6: Final answer
    x = 13,288.02

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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.