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Finding the Fourth Proportional to 16,528.16, 22,808.88 and 8,974.38

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Solution

The fourth proportional to 16,528.16, 22,808.88 and 8,974.38 is: 12,384.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,528.16 : 22,808.88 = 8,974.38 : x
  2. Step 2: Convert to fraction form
    16,528.16/22,808.88 = 8,974.38/x
  3. Step 3: Cross multiply
    16,528.16x = 22,808.88 × 8,974.38
  4. Step 4: Simplify right side
    16,528.16x = 204,695,442.45
  5. Step 5: Solve for x
    x = 204,695,442.45/16,528.16
  6. Step 6: Final answer
    x = 12,384.65

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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.