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Finding the Fourth Proportional to 16,338.24, 22,547.04 and 8,886.24

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Solution

The fourth proportional to 16,338.24, 22,547.04 and 8,886.24 is: 12,263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,338.24 : 22,547.04 = 8,886.24 : x
  2. Step 2: Convert to fraction form
    16,338.24/22,547.04 = 8,886.24/x
  3. Step 3: Cross multiply
    16,338.24x = 22,547.04 × 8,886.24
  4. Step 4: Simplify right side
    16,338.24x = 200,358,408.73
  5. Step 5: Solve for x
    x = 200,358,408.73/16,338.24
  6. Step 6: Final answer
    x = 12,263.16

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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.