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Finding the Fourth Proportional to 16,313.66, 24,470.51 and 4,001.66

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Solution

The fourth proportional to 16,313.66, 24,470.51 and 4,001.66 is: 6,002.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,313.66 : 24,470.51 = 4,001.66 : x
  2. Step 2: Convert to fraction form
    16,313.66/24,470.51 = 4,001.66/x
  3. Step 3: Cross multiply
    16,313.66x = 24,470.51 × 4,001.66
  4. Step 4: Simplify right side
    16,313.66x = 97,922,661.05
  5. Step 5: Solve for x
    x = 97,922,661.05/16,313.66
  6. Step 6: Final answer
    x = 6,002.49

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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.