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Finding the Fourth Proportional to 21,864, 32,801.54 and 6,281.63

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Solution

The fourth proportional to 21,864, 32,801.54 and 6,281.63 is: 9,424.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,864 : 32,801.54 = 6,281.63 : x
  2. Step 2: Convert to fraction form
    21,864/32,801.54 = 6,281.63/x
  3. Step 3: Cross multiply
    21,864x = 32,801.54 × 6,281.63
  4. Step 4: Simplify right side
    21,864x = 206,047,137.71
  5. Step 5: Solve for x
    x = 206,047,137.71/21,864
  6. Step 6: Final answer
    x = 9,424.04

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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.