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Finding the Fourth Proportional to 23,042.88, 31,798.86 and 13,106.88

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Solution

The fourth proportional to 23,042.88, 31,798.86 and 13,106.88 is: 18,087.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,042.88 : 31,798.86 = 13,106.88 : x
  2. Step 2: Convert to fraction form
    23,042.88/31,798.86 = 13,106.88/x
  3. Step 3: Cross multiply
    23,042.88x = 31,798.86 × 13,106.88
  4. Step 4: Simplify right side
    23,042.88x = 416,783,842.16
  5. Step 5: Solve for x
    x = 416,783,842.16/23,042.88
  6. Step 6: Final answer
    x = 18,087.32

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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.