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Finding the Fourth Proportional to 13,431.93, 18,534.67 and 7,462.94

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Solution

The fourth proportional to 13,431.93, 18,534.67 and 7,462.94 is: 10,298.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.93 : 18,534.67 = 7,462.94 : x
  2. Step 2: Convert to fraction form
    13,431.93/18,534.67 = 7,462.94/x
  3. Step 3: Cross multiply
    13,431.93x = 18,534.67 × 7,462.94
  4. Step 4: Simplify right side
    13,431.93x = 138,323,060.78
  5. Step 5: Solve for x
    x = 138,323,060.78/13,431.93
  6. Step 6: Final answer
    x = 10,298.08

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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.