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Finding the Fourth Proportional to 23,548.57, 32,497.65 and 12,938.49

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Solution

The fourth proportional to 23,548.57, 32,497.65 and 12,938.49 is: 17,855.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,548.57 : 32,497.65 = 12,938.49 : x
  2. Step 2: Convert to fraction form
    23,548.57/32,497.65 = 12,938.49/x
  3. Step 3: Cross multiply
    23,548.57x = 32,497.65 × 12,938.49
  4. Step 4: Simplify right side
    23,548.57x = 420,470,519.55
  5. Step 5: Solve for x
    x = 420,470,519.55/23,548.57
  6. Step 6: Final answer
    x = 17,855.46

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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.