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Finding the Fourth Proportional to 21,565.88, 32,348.81 and 5,983.50

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Solution

The fourth proportional to 21,565.88, 32,348.81 and 5,983.50 is: 8,975.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,565.88 : 32,348.81 = 5,983.50 : x
  2. Step 2: Convert to fraction form
    21,565.88/32,348.81 = 5,983.50/x
  3. Step 3: Cross multiply
    21,565.88x = 32,348.81 × 5,983.50
  4. Step 4: Simplify right side
    21,565.88x = 193,559,104.64
  5. Step 5: Solve for x
    x = 193,559,104.64/21,565.88
  6. Step 6: Final answer
    x = 8,975.25

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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.