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Finding the Fourth Proportional to 12,394.93, 18,592.43 and 8,713.63

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Solution

The fourth proportional to 12,394.93, 18,592.43 and 8,713.63 is: 13,070.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.93 : 18,592.43 = 8,713.63 : x
  2. Step 2: Convert to fraction form
    12,394.93/18,592.43 = 8,713.63/x
  3. Step 3: Cross multiply
    12,394.93x = 18,592.43 × 8,713.63
  4. Step 4: Simplify right side
    12,394.93x = 162,007,419.29
  5. Step 5: Solve for x
    x = 162,007,419.29/12,394.93
  6. Step 6: Final answer
    x = 13,070.46

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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.