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Finding the Fourth Proportional to 16,471.65, 24,707.48 and 4,786.05

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Solution

The fourth proportional to 16,471.65, 24,707.48 and 4,786.05 is: 7,179.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.65 : 24,707.48 = 4,786.05 : x
  2. Step 2: Convert to fraction form
    16,471.65/24,707.48 = 4,786.05/x
  3. Step 3: Cross multiply
    16,471.65x = 24,707.48 × 4,786.05
  4. Step 4: Simplify right side
    16,471.65x = 118,251,210.72
  5. Step 5: Solve for x
    x = 118,251,210.72/16,471.65
  6. Step 6: Final answer
    x = 7,179.08

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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.