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Finding the Fourth Proportional to 13,817.18, 19,067.84 and 7,848.98

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Solution

The fourth proportional to 13,817.18, 19,067.84 and 7,848.98 is: 10,831.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.18 : 19,067.84 = 7,848.98 : x
  2. Step 2: Convert to fraction form
    13,817.18/19,067.84 = 7,848.98/x
  3. Step 3: Cross multiply
    13,817.18x = 19,067.84 × 7,848.98
  4. Step 4: Simplify right side
    13,817.18x = 149,663,094.80
  5. Step 5: Solve for x
    x = 149,663,094.80/13,817.18
  6. Step 6: Final answer
    x = 10,831.67

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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.