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Finding the Fourth Proportional to 23,459.49, 32,373.81 and 12,849.12

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Solution

The fourth proportional to 23,459.49, 32,373.81 and 12,849.12 is: 17,731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,459.49 : 32,373.81 = 12,849.12 : x
  2. Step 2: Convert to fraction form
    23,459.49/32,373.81 = 12,849.12/x
  3. Step 3: Cross multiply
    23,459.49x = 32,373.81 × 12,849.12
  4. Step 4: Simplify right side
    23,459.49x = 415,974,969.55
  5. Step 5: Solve for x
    x = 415,974,969.55/23,459.49
  6. Step 6: Final answer
    x = 17,731.63

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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.