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Finding the Fourth Proportional to 23,497.88, 32,426.48 and 12,742.16

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Solution

The fourth proportional to 23,497.88, 32,426.48 and 12,742.16 is: 17,583.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,497.88 : 32,426.48 = 12,742.16 : x
  2. Step 2: Convert to fraction form
    23,497.88/32,426.48 = 12,742.16/x
  3. Step 3: Cross multiply
    23,497.88x = 32,426.48 × 12,742.16
  4. Step 4: Simplify right side
    23,497.88x = 413,183,396.40
  5. Step 5: Solve for x
    x = 413,183,396.40/23,497.88
  6. Step 6: Final answer
    x = 17,583.86

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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.