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Finding the Fourth Proportional to 15,537.75, 23,307.18 and 5,149.23

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Solution

The fourth proportional to 15,537.75, 23,307.18 and 5,149.23 is: 7,724.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,537.75 : 23,307.18 = 5,149.23 : x
  2. Step 2: Convert to fraction form
    15,537.75/23,307.18 = 5,149.23/x
  3. Step 3: Cross multiply
    15,537.75x = 23,307.18 × 5,149.23
  4. Step 4: Simplify right side
    15,537.75x = 120,014,030.47
  5. Step 5: Solve for x
    x = 120,014,030.47/15,537.75
  6. Step 6: Final answer
    x = 7,724.03

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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.