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Finding the Fourth Proportional to 21,820.67, 32,726.38 and 9,971.08

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Solution

The fourth proportional to 21,820.67, 32,726.38 and 9,971.08 is: 14,954.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,820.67 : 32,726.38 = 9,971.08 : x
  2. Step 2: Convert to fraction form
    21,820.67/32,726.38 = 9,971.08/x
  3. Step 3: Cross multiply
    21,820.67x = 32,726.38 × 9,971.08
  4. Step 4: Simplify right side
    21,820.67x = 326,317,353.09
  5. Step 5: Solve for x
    x = 326,317,353.09/21,820.67
  6. Step 6: Final answer
    x = 14,954.51

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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.