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Finding the Fourth Proportional to 13,816.41, 19,066.05 and 7,848.06

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Solution

The fourth proportional to 13,816.41, 19,066.05 and 7,848.06 is: 10,829.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.41 : 19,066.05 = 7,848.06 : x
  2. Step 2: Convert to fraction form
    13,816.41/19,066.05 = 7,848.06/x
  3. Step 3: Cross multiply
    13,816.41x = 19,066.05 × 7,848.06
  4. Step 4: Simplify right side
    13,816.41x = 149,631,504.36
  5. Step 5: Solve for x
    x = 149,631,504.36/13,816.41
  6. Step 6: Final answer
    x = 10,829.98

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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.