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Finding the Fourth Proportional to 16,221.65, 24,328.77 and 7,448.13

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Solution

The fourth proportional to 16,221.65, 24,328.77 and 7,448.13 is: 11,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221.65 : 24,328.77 = 7,448.13 : x
  2. Step 2: Convert to fraction form
    16,221.65/24,328.77 = 7,448.13/x
  3. Step 3: Cross multiply
    16,221.65x = 24,328.77 × 7,448.13
  4. Step 4: Simplify right side
    16,221.65x = 181,203,841.70
  5. Step 5: Solve for x
    x = 181,203,841.70/16,221.65
  6. Step 6: Final answer
    x = 11,170.50

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1.5x scale

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.