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Finding the Fourth Proportional to 13,928.17, 19,217.51 and 7,878.52

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Solution

The fourth proportional to 13,928.17, 19,217.51 and 7,878.52 is: 10,870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,928.17 : 19,217.51 = 7,878.52 : x
  2. Step 2: Convert to fraction form
    13,928.17/19,217.51 = 7,878.52/x
  3. Step 3: Cross multiply
    13,928.17x = 19,217.51 × 7,878.52
  4. Step 4: Simplify right side
    13,928.17x = 151,405,497.49
  5. Step 5: Solve for x
    x = 151,405,497.49/13,928.17
  6. Step 6: Final answer
    x = 10,870.45

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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.