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Finding the Fourth Proportional to 15,496.16, 23,253.38 and 6,137.08

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Solution

The fourth proportional to 15,496.16, 23,253.38 and 6,137.08 is: 9,209.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,496.16 : 23,253.38 = 6,137.08 : x
  2. Step 2: Convert to fraction form
    15,496.16/23,253.38 = 6,137.08/x
  3. Step 3: Cross multiply
    15,496.16x = 23,253.38 × 6,137.08
  4. Step 4: Simplify right side
    15,496.16x = 142,707,853.33
  5. Step 5: Solve for x
    x = 142,707,853.33/15,496.16
  6. Step 6: Final answer
    x = 9,209.24

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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.