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Finding the Fourth Proportional to 20,881.52, 31,326.68 and 7,734

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Solution

The fourth proportional to 20,881.52, 31,326.68 and 7,734 is: 11,602.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,881.52 : 31,326.68 = 7,734 : x
  2. Step 2: Convert to fraction form
    20,881.52/31,326.68 = 7,734/x
  3. Step 3: Cross multiply
    20,881.52x = 31,326.68 × 7,734
  4. Step 4: Simplify right side
    20,881.52x = 242,280,543.12
  5. Step 5: Solve for x
    x = 242,280,543.12/20,881.52
  6. Step 6: Final answer
    x = 11,602.63

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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.