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Finding the Fourth Proportional to 15,724.65, 23,586.98 and 5,336.49

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Solution

The fourth proportional to 15,724.65, 23,586.98 and 5,336.49 is: 8,004.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,724.65 : 23,586.98 = 5,336.49 : x
  2. Step 2: Convert to fraction form
    15,724.65/23,586.98 = 5,336.49/x
  3. Step 3: Cross multiply
    15,724.65x = 23,586.98 × 5,336.49
  4. Step 4: Simplify right side
    15,724.65x = 125,871,656.22
  5. Step 5: Solve for x
    x = 125,871,656.22/15,724.65
  6. Step 6: Final answer
    x = 8,004.74

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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.