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Finding the Fourth Proportional to 16,528.42, 22,809.38 and 8,974.83

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Solution

The fourth proportional to 16,528.42, 22,809.38 and 8,974.83 is: 12,385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,528.42 : 22,809.38 = 8,974.83 : x
  2. Step 2: Convert to fraction form
    16,528.42/22,809.38 = 8,974.83/x
  3. Step 3: Cross multiply
    16,528.42x = 22,809.38 × 8,974.83
  4. Step 4: Simplify right side
    16,528.42x = 204,710,307.91
  5. Step 5: Solve for x
    x = 204,710,307.91/16,528.42
  6. Step 6: Final answer
    x = 12,385.35

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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.