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Finding the Fourth Proportional to 13,004.42, 19,510.20 and 4,238.19

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Solution

The fourth proportional to 13,004.42, 19,510.20 and 4,238.19 is: 6,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.42 : 19,510.20 = 4,238.19 : x
  2. Step 2: Convert to fraction form
    13,004.42/19,510.20 = 4,238.19/x
  3. Step 3: Cross multiply
    13,004.42x = 19,510.20 × 4,238.19
  4. Step 4: Simplify right side
    13,004.42x = 82,687,934.54
  5. Step 5: Solve for x
    x = 82,687,934.54/13,004.42
  6. Step 6: Final answer
    x = 6,358.45

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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.