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Finding the Fourth Proportional to 21,363.88, 32,049.52 and 9,521.88

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Solution

The fourth proportional to 21,363.88, 32,049.52 and 9,521.88 is: 14,284.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,363.88 : 32,049.52 = 9,521.88 : x
  2. Step 2: Convert to fraction form
    21,363.88/32,049.52 = 9,521.88/x
  3. Step 3: Cross multiply
    21,363.88x = 32,049.52 × 9,521.88
  4. Step 4: Simplify right side
    21,363.88x = 305,171,683.50
  5. Step 5: Solve for x
    x = 305,171,683.50/21,363.88
  6. Step 6: Final answer
    x = 14,284.47

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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.