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Finding the Fourth Proportional to 10,504.24, 15,709.86 and 9,342.42

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Solution

The fourth proportional to 10,504.24, 15,709.86 and 9,342.42 is: 13,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.24 : 15,709.86 = 9,342.42 : x
  2. Step 2: Convert to fraction form
    10,504.24/15,709.86 = 9,342.42/x
  3. Step 3: Cross multiply
    10,504.24x = 15,709.86 × 9,342.42
  4. Step 4: Simplify right side
    10,504.24x = 146,768,110.26
  5. Step 5: Solve for x
    x = 146,768,110.26/10,504.24
  6. Step 6: Final answer
    x = 13,972.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.