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Finding the Fourth Proportional to 23,130.69, 31,920.24 and 13,059.03

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Solution

The fourth proportional to 23,130.69, 31,920.24 and 13,059.03 is: 18,021.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,130.69 : 31,920.24 = 13,059.03 : x
  2. Step 2: Convert to fraction form
    23,130.69/31,920.24 = 13,059.03/x
  3. Step 3: Cross multiply
    23,130.69x = 31,920.24 × 13,059.03
  4. Step 4: Simplify right side
    23,130.69x = 416,847,371.77
  5. Step 5: Solve for x
    x = 416,847,371.77/23,130.69
  6. Step 6: Final answer
    x = 18,021.40

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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.