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Finding the Fourth Proportional to 17,865.74, 24,655.84 and 10,313.46

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Solution

The fourth proportional to 17,865.74, 24,655.84 and 10,313.46 is: 14,233.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,865.74 : 24,655.84 = 10,313.46 : x
  2. Step 2: Convert to fraction form
    17,865.74/24,655.84 = 10,313.46/x
  3. Step 3: Cross multiply
    17,865.74x = 24,655.84 × 10,313.46
  4. Step 4: Simplify right side
    17,865.74x = 254,286,993.82
  5. Step 5: Solve for x
    x = 254,286,993.82/17,865.74
  6. Step 6: Final answer
    x = 14,233.22

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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.