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Finding the Fourth Proportional to 13,948.02, 19,248.26 and 7,660.39

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Solution

The fourth proportional to 13,948.02, 19,248.26 and 7,660.39 is: 10,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,948.02 : 19,248.26 = 7,660.39 : x
  2. Step 2: Convert to fraction form
    13,948.02/19,248.26 = 7,660.39/x
  3. Step 3: Cross multiply
    13,948.02x = 19,248.26 × 7,660.39
  4. Step 4: Simplify right side
    13,948.02x = 147,449,178.42
  5. Step 5: Solve for x
    x = 147,449,178.42/13,948.02
  6. Step 6: Final answer
    x = 10,571.34

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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.