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Finding the Fourth Proportional to 21,077.16, 31,615.68 and 5,494.68

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Solution

The fourth proportional to 21,077.16, 31,615.68 and 5,494.68 is: 8,242.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,077.16 : 31,615.68 = 5,494.68 : x
  2. Step 2: Convert to fraction form
    21,077.16/31,615.68 = 5,494.68/x
  3. Step 3: Cross multiply
    21,077.16x = 31,615.68 × 5,494.68
  4. Step 4: Simplify right side
    21,077.16x = 173,718,044.58
  5. Step 5: Solve for x
    x = 173,718,044.58/21,077.16
  6. Step 6: Final answer
    x = 8,242.00

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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.