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Finding the Fourth Proportional to 13,701.40, 18,880.04 and 9,453.76

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Solution

The fourth proportional to 13,701.40, 18,880.04 and 9,453.76 is: 13,026.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.40 : 18,880.04 = 9,453.76 : x
  2. Step 2: Convert to fraction form
    13,701.40/18,880.04 = 9,453.76/x
  3. Step 3: Cross multiply
    13,701.40x = 18,880.04 × 9,453.76
  4. Step 4: Simplify right side
    13,701.40x = 178,487,366.95
  5. Step 5: Solve for x
    x = 178,487,366.95/13,701.40
  6. Step 6: Final answer
    x = 13,026.94

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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.