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Finding the Fourth Proportional to 13,285.05, 18,332.78 and 7,615.73

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Solution

The fourth proportional to 13,285.05, 18,332.78 and 7,615.73 is: 10,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,285.05 : 18,332.78 = 7,615.73 : x
  2. Step 2: Convert to fraction form
    13,285.05/18,332.78 = 7,615.73/x
  3. Step 3: Cross multiply
    13,285.05x = 18,332.78 × 7,615.73
  4. Step 4: Simplify right side
    13,285.05x = 139,617,510.38
  5. Step 5: Solve for x
    x = 139,617,510.38/13,285.05
  6. Step 6: Final answer
    x = 10,509.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.