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Finding the Fourth Proportional to 21,568.10, 32,342.55 and 9,884.90

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Solution

The fourth proportional to 21,568.10, 32,342.55 and 9,884.90 is: 14,822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,568.10 : 32,342.55 = 9,884.90 : x
  2. Step 2: Convert to fraction form
    21,568.10/32,342.55 = 9,884.90/x
  3. Step 3: Cross multiply
    21,568.10x = 32,342.55 × 9,884.90
  4. Step 4: Simplify right side
    21,568.10x = 319,702,872.50
  5. Step 5: Solve for x
    x = 319,702,872.50/21,568.10
  6. Step 6: Final answer
    x = 14,822.95

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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.