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Finding the Fourth Proportional to 13,848.30, 19,111.86 and 7,878.69

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Solution

The fourth proportional to 13,848.30, 19,111.86 and 7,878.69 is: 10,873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,848.30 : 19,111.86 = 7,878.69 : x
  2. Step 2: Convert to fraction form
    13,848.30/19,111.86 = 7,878.69/x
  3. Step 3: Cross multiply
    13,848.30x = 19,111.86 × 7,878.69
  4. Step 4: Simplify right side
    13,848.30x = 150,576,420.26
  5. Step 5: Solve for x
    x = 150,576,420.26/13,848.30
  6. Step 6: Final answer
    x = 10,873.28

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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.