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Finding the Fourth Proportional to 13,007.57, 17,950.34 and 10,177.83

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Solution

The fourth proportional to 13,007.57, 17,950.34 and 10,177.83 is: 14,045.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.57 : 17,950.34 = 10,177.83 : x
  2. Step 2: Convert to fraction form
    13,007.57/17,950.34 = 10,177.83/x
  3. Step 3: Cross multiply
    13,007.57x = 17,950.34 × 10,177.83
  4. Step 4: Simplify right side
    13,007.57x = 182,695,534.41
  5. Step 5: Solve for x
    x = 182,695,534.41/13,007.57
  6. Step 6: Final answer
    x = 14,045.33

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