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Finding the Fourth Proportional to 15,971.16, 22,037.46 and 9,257.64

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Solution

The fourth proportional to 15,971.16, 22,037.46 and 9,257.64 is: 12,773.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,971.16 : 22,037.46 = 9,257.64 : x
  2. Step 2: Convert to fraction form
    15,971.16/22,037.46 = 9,257.64/x
  3. Step 3: Cross multiply
    15,971.16x = 22,037.46 × 9,257.64
  4. Step 4: Simplify right side
    15,971.16x = 204,014,871.19
  5. Step 5: Solve for x
    x = 204,014,871.19/15,971.16
  6. Step 6: Final answer
    x = 12,773.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.