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Finding the Fourth Proportional to 12,513.32, 18,713.09 and 9,352.95

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Solution

The fourth proportional to 12,513.32, 18,713.09 and 9,352.95 is: 13,986.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,513.32 : 18,713.09 = 9,352.95 : x
  2. Step 2: Convert to fraction form
    12,513.32/18,713.09 = 9,352.95/x
  3. Step 3: Cross multiply
    12,513.32x = 18,713.09 × 9,352.95
  4. Step 4: Simplify right side
    12,513.32x = 175,022,548.35
  5. Step 5: Solve for x
    x = 175,022,548.35/12,513.32
  6. Step 6: Final answer
    x = 13,986.91

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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.