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Finding the Fourth Proportional to 20,111.60, 30,166.32 and 5,321

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Solution

The fourth proportional to 20,111.60, 30,166.32 and 5,321 is: 7,981.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,111.60 : 30,166.32 = 5,321 : x
  2. Step 2: Convert to fraction form
    20,111.60/30,166.32 = 5,321/x
  3. Step 3: Cross multiply
    20,111.60x = 30,166.32 × 5,321
  4. Step 4: Simplify right side
    20,111.60x = 160,514,988.72
  5. Step 5: Solve for x
    x = 160,514,988.72/20,111.60
  6. Step 6: Final answer
    x = 7,981.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.