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Finding the Fourth Proportional to 15,797.87, 21,802.20 and 9,085.60

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Solution

The fourth proportional to 15,797.87, 21,802.20 and 9,085.60 is: 12,538.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,797.87 : 21,802.20 = 9,085.60 : x
  2. Step 2: Convert to fraction form
    15,797.87/21,802.20 = 9,085.60/x
  3. Step 3: Cross multiply
    15,797.87x = 21,802.20 × 9,085.60
  4. Step 4: Simplify right side
    15,797.87x = 198,086,013.81
  5. Step 5: Solve for x
    x = 198,086,013.81/15,797.87
  6. Step 6: Final answer
    x = 12,538.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.