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Finding the Fourth Proportional to 12,701.94, 17,513.19 and 9,334.50

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Solution

The fourth proportional to 12,701.94, 17,513.19 and 9,334.50 is: 12,870.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701.94 : 17,513.19 = 9,334.50 : x
  2. Step 2: Convert to fraction form
    12,701.94/17,513.19 = 9,334.50/x
  3. Step 3: Cross multiply
    12,701.94x = 17,513.19 × 9,334.50
  4. Step 4: Simplify right side
    12,701.94x = 163,476,872.06
  5. Step 5: Solve for x
    x = 163,476,872.06/12,701.94
  6. Step 6: Final answer
    x = 12,870.23

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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.