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Finding the Fourth Proportional to 13,858, 19,123.44 and 7,808.08

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Solution

The fourth proportional to 13,858, 19,123.44 and 7,808.08 is: 10,774.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858 : 19,123.44 = 7,808.08 : x
  2. Step 2: Convert to fraction form
    13,858/19,123.44 = 7,808.08/x
  3. Step 3: Cross multiply
    13,858x = 19,123.44 × 7,808.08
  4. Step 4: Simplify right side
    13,858x = 149,317,349.40
  5. Step 5: Solve for x
    x = 149,317,349.40/13,858
  6. Step 6: Final answer
    x = 10,774.81

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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.