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Finding the Fourth Proportional to 13,846.58, 19,108.48 and 7,878.12

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Solution

The fourth proportional to 13,846.58, 19,108.48 and 7,878.12 is: 10,871.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.58 : 19,108.48 = 7,878.12 : x
  2. Step 2: Convert to fraction form
    13,846.58/19,108.48 = 7,878.12/x
  3. Step 3: Cross multiply
    13,846.58x = 19,108.48 × 7,878.12
  4. Step 4: Simplify right side
    13,846.58x = 150,538,898.46
  5. Step 5: Solve for x
    x = 150,538,898.46/13,846.58
  6. Step 6: Final answer
    x = 10,871.92

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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.