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Finding the Fourth Proportional to 16,300.13, 22,494.20 and 8,848.13

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Solution

The fourth proportional to 16,300.13, 22,494.20 and 8,848.13 is: 12,210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,300.13 : 22,494.20 = 8,848.13 : x
  2. Step 2: Convert to fraction form
    16,300.13/22,494.20 = 8,848.13/x
  3. Step 3: Cross multiply
    16,300.13x = 22,494.20 × 8,848.13
  4. Step 4: Simplify right side
    16,300.13x = 199,031,449.13
  5. Step 5: Solve for x
    x = 199,031,449.13/16,300.13
  6. Step 6: Final answer
    x = 12,210.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.