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Finding the Fourth Proportional to 20,805.47, 31,193.62 and 7,656.13

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Solution

The fourth proportional to 20,805.47, 31,193.62 and 7,656.13 is: 11,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,805.47 : 31,193.62 = 7,656.13 : x
  2. Step 2: Convert to fraction form
    20,805.47/31,193.62 = 7,656.13/x
  3. Step 3: Cross multiply
    20,805.47x = 31,193.62 × 7,656.13
  4. Step 4: Simplify right side
    20,805.47x = 238,822,312.77
  5. Step 5: Solve for x
    x = 238,822,312.77/20,805.47
  6. Step 6: Final answer
    x = 11,478.83

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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.