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Finding the Fourth Proportional to 21,874.71, 32,811.68 and 7,083.65

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Solution

The fourth proportional to 21,874.71, 32,811.68 and 7,083.65 is: 10,625.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.71 : 32,811.68 = 7,083.65 : x
  2. Step 2: Convert to fraction form
    21,874.71/32,811.68 = 7,083.65/x
  3. Step 3: Cross multiply
    21,874.71x = 32,811.68 × 7,083.65
  4. Step 4: Simplify right side
    21,874.71x = 232,426,556.77
  5. Step 5: Solve for x
    x = 232,426,556.77/21,874.71
  6. Step 6: Final answer
    x = 10,625.36

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1.5x scale

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.