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Finding the Fourth Proportional to 13,238.46, 19,846.17 and 7,403.58

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Solution

The fourth proportional to 13,238.46, 19,846.17 and 7,403.58 is: 11,098.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.46 : 19,846.17 = 7,403.58 : x
  2. Step 2: Convert to fraction form
    13,238.46/19,846.17 = 7,403.58/x
  3. Step 3: Cross multiply
    13,238.46x = 19,846.17 × 7,403.58
  4. Step 4: Simplify right side
    13,238.46x = 146,932,707.29
  5. Step 5: Solve for x
    x = 146,932,707.29/13,238.46
  6. Step 6: Final answer
    x = 11,098.93

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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.