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Finding the Fourth Proportional to 21,667.50, 32,476.68 and 9,956.52

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Solution

The fourth proportional to 21,667.50, 32,476.68 and 9,956.52 is: 14,923.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,667.50 : 32,476.68 = 9,956.52 : x
  2. Step 2: Convert to fraction form
    21,667.50/32,476.68 = 9,956.52/x
  3. Step 3: Cross multiply
    21,667.50x = 32,476.68 × 9,956.52
  4. Step 4: Simplify right side
    21,667.50x = 323,354,713.95
  5. Step 5: Solve for x
    x = 323,354,713.95/21,667.50
  6. Step 6: Final answer
    x = 14,923.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.