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Finding the Fourth Proportional to 21,117.41, 31,676.12 and 7,074.84

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Solution

The fourth proportional to 21,117.41, 31,676.12 and 7,074.84 is: 10,612.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,117.41 : 31,676.12 = 7,074.84 : x
  2. Step 2: Convert to fraction form
    21,117.41/31,676.12 = 7,074.84/x
  3. Step 3: Cross multiply
    21,117.41x = 31,676.12 × 7,074.84
  4. Step 4: Simplify right side
    21,117.41x = 224,103,445.45
  5. Step 5: Solve for x
    x = 224,103,445.45/21,117.41
  6. Step 6: Final answer
    x = 10,612.26

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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.