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Finding the Fourth Proportional to 23,153.69, 31,950.19 and 13,083

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Solution

The fourth proportional to 23,153.69, 31,950.19 and 13,083 is: 18,053.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,153.69 : 31,950.19 = 13,083 : x
  2. Step 2: Convert to fraction form
    23,153.69/31,950.19 = 13,083/x
  3. Step 3: Cross multiply
    23,153.69x = 31,950.19 × 13,083
  4. Step 4: Simplify right side
    23,153.69x = 418,004,335.77
  5. Step 5: Solve for x
    x = 418,004,335.77/23,153.69
  6. Step 6: Final answer
    x = 18,053.47

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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.