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Finding the Fourth Proportional to 15,685.26, 23,507.13 and 11,505.70

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Solution

The fourth proportional to 15,685.26, 23,507.13 and 11,505.70 is: 17,243.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,685.26 : 23,507.13 = 11,505.70 : x
  2. Step 2: Convert to fraction form
    15,685.26/23,507.13 = 11,505.70/x
  3. Step 3: Cross multiply
    15,685.26x = 23,507.13 × 11,505.70
  4. Step 4: Simplify right side
    15,685.26x = 270,465,928.11
  5. Step 5: Solve for x
    x = 270,465,928.11/15,685.26
  6. Step 6: Final answer
    x = 17,243.32

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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.