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Finding the Fourth Proportional to 21,622.42, 32,432.76 and 6,832.18

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Solution

The fourth proportional to 21,622.42, 32,432.76 and 6,832.18 is: 10,248.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,622.42 : 32,432.76 = 6,832.18 : x
  2. Step 2: Convert to fraction form
    21,622.42/32,432.76 = 6,832.18/x
  3. Step 3: Cross multiply
    21,622.42x = 32,432.76 × 6,832.18
  4. Step 4: Simplify right side
    21,622.42x = 221,586,454.22
  5. Step 5: Solve for x
    x = 221,586,454.22/21,622.42
  6. Step 6: Final answer
    x = 10,248.00

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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.