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Finding the Fourth Proportional to 20,805.84, 31,194.18 and 7,656.50

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Solution

The fourth proportional to 20,805.84, 31,194.18 and 7,656.50 is: 11,479.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,805.84 : 31,194.18 = 7,656.50 : x
  2. Step 2: Convert to fraction form
    20,805.84/31,194.18 = 7,656.50/x
  3. Step 3: Cross multiply
    20,805.84x = 31,194.18 × 7,656.50
  4. Step 4: Simplify right side
    20,805.84x = 238,838,317.16
  5. Step 5: Solve for x
    x = 238,838,317.16/20,805.84
  6. Step 6: Final answer
    x = 11,479.39

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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.