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Finding the Fourth Proportional to 16,595.52, 22,894.08 and 9,877.38

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Solution

The fourth proportional to 16,595.52, 22,894.08 and 9,877.38 is: 13,626.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,595.52 : 22,894.08 = 9,877.38 : x
  2. Step 2: Convert to fraction form
    16,595.52/22,894.08 = 9,877.38/x
  3. Step 3: Cross multiply
    16,595.52x = 22,894.08 × 9,877.38
  4. Step 4: Simplify right side
    16,595.52x = 226,133,527.91
  5. Step 5: Solve for x
    x = 226,133,527.91/16,595.52
  6. Step 6: Final answer
    x = 13,626.18

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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.