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Finding the Fourth Proportional to 22,281.96, 30,749.76 and 12,211.28

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Solution

The fourth proportional to 22,281.96, 30,749.76 and 12,211.28 is: 16,851.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,281.96 : 30,749.76 = 12,211.28 : x
  2. Step 2: Convert to fraction form
    22,281.96/30,749.76 = 12,211.28/x
  3. Step 3: Cross multiply
    22,281.96x = 30,749.76 × 12,211.28
  4. Step 4: Simplify right side
    22,281.96x = 375,493,929.29
  5. Step 5: Solve for x
    x = 375,493,929.29/22,281.96
  6. Step 6: Final answer
    x = 16,851.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.