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Finding the Fourth Proportional to 16,956.04, 23,397 and 9,877

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Solution

The fourth proportional to 16,956.04, 23,397 and 9,877 is: 13,628.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,956.04 : 23,397 = 9,877 : x
  2. Step 2: Convert to fraction form
    16,956.04/23,397 = 9,877/x
  3. Step 3: Cross multiply
    16,956.04x = 23,397 × 9,877
  4. Step 4: Simplify right side
    16,956.04x = 231,092,169
  5. Step 5: Solve for x
    x = 231,092,169/16,956.04
  6. Step 6: Final answer
    x = 13,628.90

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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.