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Finding the Fourth Proportional to 13,699.40, 18,888.04 and 11,434

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Solution

The fourth proportional to 13,699.40, 18,888.04 and 11,434 is: 15,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699.40 : 18,888.04 = 11,434 : x
  2. Step 2: Convert to fraction form
    13,699.40/18,888.04 = 11,434/x
  3. Step 3: Cross multiply
    13,699.40x = 18,888.04 × 11,434
  4. Step 4: Simplify right side
    13,699.40x = 215,965,849.36
  5. Step 5: Solve for x
    x = 215,965,849.36/13,699.40
  6. Step 6: Final answer
    x = 15,764.62

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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.