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Finding the Fourth Proportional to 15,685.20, 23,527.80 and 5,296.80

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Solution

The fourth proportional to 15,685.20, 23,527.80 and 5,296.80 is: 7,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,685.20 : 23,527.80 = 5,296.80 : x
  2. Step 2: Convert to fraction form
    15,685.20/23,527.80 = 5,296.80/x
  3. Step 3: Cross multiply
    15,685.20x = 23,527.80 × 5,296.80
  4. Step 4: Simplify right side
    15,685.20x = 124,622,051.04
  5. Step 5: Solve for x
    x = 124,622,051.04/15,685.20
  6. Step 6: Final answer
    x = 7,945.20

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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.