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Finding the Fourth Proportional to 15,690, 23,537.20 and 4,597.48

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Solution

The fourth proportional to 15,690, 23,537.20 and 4,597.48 is: 6,896.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,690 : 23,537.20 = 4,597.48 : x
  2. Step 2: Convert to fraction form
    15,690/23,537.20 = 4,597.48/x
  3. Step 3: Cross multiply
    15,690x = 23,537.20 × 4,597.48
  4. Step 4: Simplify right side
    15,690x = 108,211,806.26
  5. Step 5: Solve for x
    x = 108,211,806.26/15,690
  6. Step 6: Final answer
    x = 6,896.86

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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.