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Finding the Fourth Proportional to 15,535.98, 23,303.42 and 5,147.64

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Solution

The fourth proportional to 15,535.98, 23,303.42 and 5,147.64 is: 7,721.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,535.98 : 23,303.42 = 5,147.64 : x
  2. Step 2: Convert to fraction form
    15,535.98/23,303.42 = 5,147.64/x
  3. Step 3: Cross multiply
    15,535.98x = 23,303.42 × 5,147.64
  4. Step 4: Simplify right side
    15,535.98x = 119,957,616.93
  5. Step 5: Solve for x
    x = 119,957,616.93/15,535.98
  6. Step 6: Final answer
    x = 7,721.28

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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.