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Finding the Fourth Proportional to 15,697.34, 23,545.40 and 5,309.09

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Solution

The fourth proportional to 15,697.34, 23,545.40 and 5,309.09 is: 7,963.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.34 : 23,545.40 = 5,309.09 : x
  2. Step 2: Convert to fraction form
    15,697.34/23,545.40 = 5,309.09/x
  3. Step 3: Cross multiply
    15,697.34x = 23,545.40 × 5,309.09
  4. Step 4: Simplify right side
    15,697.34x = 125,004,503.41
  5. Step 5: Solve for x
    x = 125,004,503.41/15,697.34
  6. Step 6: Final answer
    x = 7,963.42

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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.