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Finding the Fourth Proportional to 21,902.88, 32,877.70 and 9,429.08

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Solution

The fourth proportional to 21,902.88, 32,877.70 and 9,429.08 is: 14,153.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,902.88 : 32,877.70 = 9,429.08 : x
  2. Step 2: Convert to fraction form
    21,902.88/32,877.70 = 9,429.08/x
  3. Step 3: Cross multiply
    21,902.88x = 32,877.70 × 9,429.08
  4. Step 4: Simplify right side
    21,902.88x = 310,006,463.52
  5. Step 5: Solve for x
    x = 310,006,463.52/21,902.88
  6. Step 6: Final answer
    x = 14,153.68

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1.5x scale

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.