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Finding the Fourth Proportional to 13,750.88, 18,976 and 7,463.20

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Solution

The fourth proportional to 13,750.88, 18,976 and 7,463.20 is: 10,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,750.88 : 18,976 = 7,463.20 : x
  2. Step 2: Convert to fraction form
    13,750.88/18,976 = 7,463.20/x
  3. Step 3: Cross multiply
    13,750.88x = 18,976 × 7,463.20
  4. Step 4: Simplify right side
    13,750.88x = 141,621,683.20
  5. Step 5: Solve for x
    x = 141,621,683.20/13,750.88
  6. Step 6: Final answer
    x = 10,299.10

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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.