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Finding the Fourth Proportional to 15,537.56, 23,309.06 and 5,683.32

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Solution

The fourth proportional to 15,537.56, 23,309.06 and 5,683.32 is: 8,525.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,537.56 : 23,309.06 = 5,683.32 : x
  2. Step 2: Convert to fraction form
    15,537.56/23,309.06 = 5,683.32/x
  3. Step 3: Cross multiply
    15,537.56x = 23,309.06 × 5,683.32
  4. Step 4: Simplify right side
    15,537.56x = 132,472,818.46
  5. Step 5: Solve for x
    x = 132,472,818.46/15,537.56
  6. Step 6: Final answer
    x = 8,525.98

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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.