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Finding the Fourth Proportional to 31,365, 47,011.69 and 12,633.04

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Solution

The fourth proportional to 31,365, 47,011.69 and 12,633.04 is: 18,935.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,365 : 47,011.69 = 12,633.04 : x
  2. Step 2: Convert to fraction form
    31,365/47,011.69 = 12,633.04/x
  3. Step 3: Cross multiply
    31,365x = 47,011.69 × 12,633.04
  4. Step 4: Simplify right side
    31,365x = 593,900,560.24
  5. Step 5: Solve for x
    x = 593,900,560.24/31,365
  6. Step 6: Final answer
    x = 18,935.14

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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.