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Finding the Fourth Proportional to 22,869.12, 34,308 and 9,721.44

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Solution

The fourth proportional to 22,869.12, 34,308 and 9,721.44 is: 14,584.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,869.12 : 34,308 = 9,721.44 : x
  2. Step 2: Convert to fraction form
    22,869.12/34,308 = 9,721.44/x
  3. Step 3: Cross multiply
    22,869.12x = 34,308 × 9,721.44
  4. Step 4: Simplify right side
    22,869.12x = 333,523,163.52
  5. Step 5: Solve for x
    x = 333,523,163.52/22,869.12
  6. Step 6: Final answer
    x = 14,584.00

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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.