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Finding the Fourth Proportional to 16,228.13, 22,394.81 and 8,776.13

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Solution

The fourth proportional to 16,228.13, 22,394.81 and 8,776.13 is: 12,111.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,228.13 : 22,394.81 = 8,776.13 : x
  2. Step 2: Convert to fraction form
    16,228.13/22,394.81 = 8,776.13/x
  3. Step 3: Cross multiply
    16,228.13x = 22,394.81 × 8,776.13
  4. Step 4: Simplify right side
    16,228.13x = 196,539,763.89
  5. Step 5: Solve for x
    x = 196,539,763.89/16,228.13
  6. Step 6: Final answer
    x = 12,111.05

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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.