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Finding the Fourth Proportional to 13,510.42, 18,647.49 and 7,923.22

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Solution

The fourth proportional to 13,510.42, 18,647.49 and 7,923.22 is: 10,935.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.42 : 18,647.49 = 7,923.22 : x
  2. Step 2: Convert to fraction form
    13,510.42/18,647.49 = 7,923.22/x
  3. Step 3: Cross multiply
    13,510.42x = 18,647.49 × 7,923.22
  4. Step 4: Simplify right side
    13,510.42x = 147,748,165.72
  5. Step 5: Solve for x
    x = 147,748,165.72/13,510.42
  6. Step 6: Final answer
    x = 10,935.87

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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.