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Finding the Fourth Proportional to 13,857.17, 19,121.65 and 7,808.40

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Solution

The fourth proportional to 13,857.17, 19,121.65 and 7,808.40 is: 10,774.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.17 : 19,121.65 = 7,808.40 : x
  2. Step 2: Convert to fraction form
    13,857.17/19,121.65 = 7,808.40/x
  3. Step 3: Cross multiply
    13,857.17x = 19,121.65 × 7,808.40
  4. Step 4: Simplify right side
    13,857.17x = 149,309,466.51
  5. Step 5: Solve for x
    x = 149,309,466.51/13,857.17
  6. Step 6: Final answer
    x = 10,774.89

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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.