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Finding the Fourth Proportional to 14,028.18, 19,357.74 and 7,740.54

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Solution

The fourth proportional to 14,028.18, 19,357.74 and 7,740.54 is: 10,681.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,028.18 : 19,357.74 = 7,740.54 : x
  2. Step 2: Convert to fraction form
    14,028.18/19,357.74 = 7,740.54/x
  3. Step 3: Cross multiply
    14,028.18x = 19,357.74 × 7,740.54
  4. Step 4: Simplify right side
    14,028.18x = 149,839,360.78
  5. Step 5: Solve for x
    x = 149,839,360.78/14,028.18
  6. Step 6: Final answer
    x = 10,681.31

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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.