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Finding the Fourth Proportional to 21,959.04, 32,938.60 and 6,376.80

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Solution

The fourth proportional to 21,959.04, 32,938.60 and 6,376.80 is: 9,565.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,959.04 : 32,938.60 = 6,376.80 : x
  2. Step 2: Convert to fraction form
    21,959.04/32,938.60 = 6,376.80/x
  3. Step 3: Cross multiply
    21,959.04x = 32,938.60 × 6,376.80
  4. Step 4: Simplify right side
    21,959.04x = 210,042,864.48
  5. Step 5: Solve for x
    x = 210,042,864.48/21,959.04
  6. Step 6: Final answer
    x = 9,565.21

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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.