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Finding the Fourth Proportional to 13,816.40, 19,068 and 7,848.44

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Solution

The fourth proportional to 13,816.40, 19,068 and 7,848.44 is: 10,831.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.40 : 19,068 = 7,848.44 : x
  2. Step 2: Convert to fraction form
    13,816.40/19,068 = 7,848.44/x
  3. Step 3: Cross multiply
    13,816.40x = 19,068 × 7,848.44
  4. Step 4: Simplify right side
    13,816.40x = 149,654,053.92
  5. Step 5: Solve for x
    x = 149,654,053.92/13,816.40
  6. Step 6: Final answer
    x = 10,831.62

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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.