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Finding the Fourth Proportional to 12,333.47, 18,502.93 and 5,756.06

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Solution

The fourth proportional to 12,333.47, 18,502.93 and 5,756.06 is: 8,635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,333.47 : 18,502.93 = 5,756.06 : x
  2. Step 2: Convert to fraction form
    12,333.47/18,502.93 = 5,756.06/x
  3. Step 3: Cross multiply
    12,333.47x = 18,502.93 × 5,756.06
  4. Step 4: Simplify right side
    12,333.47x = 106,504,028.71
  5. Step 5: Solve for x
    x = 106,504,028.71/12,333.47
  6. Step 6: Final answer
    x = 8,635.37

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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.