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Finding the Fourth Proportional to 23,031.57, 34,535.06 and 7,233.71

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Solution

The fourth proportional to 23,031.57, 34,535.06 and 7,233.71 is: 10,846.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,031.57 : 34,535.06 = 7,233.71 : x
  2. Step 2: Convert to fraction form
    23,031.57/34,535.06 = 7,233.71/x
  3. Step 3: Cross multiply
    23,031.57x = 34,535.06 × 7,233.71
  4. Step 4: Simplify right side
    23,031.57x = 249,816,427.16
  5. Step 5: Solve for x
    x = 249,816,427.16/23,031.57
  6. Step 6: Final answer
    x = 10,846.69

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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.