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Finding the Fourth Proportional to 23,042.58, 31,798.49 and 12,971.04

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Solution

The fourth proportional to 23,042.58, 31,798.49 and 12,971.04 is: 17,899.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,042.58 : 31,798.49 = 12,971.04 : x
  2. Step 2: Convert to fraction form
    23,042.58/31,798.49 = 12,971.04/x
  3. Step 3: Cross multiply
    23,042.58x = 31,798.49 × 12,971.04
  4. Step 4: Simplify right side
    23,042.58x = 412,459,420.87
  5. Step 5: Solve for x
    x = 412,459,420.87/23,042.58
  6. Step 6: Final answer
    x = 17,899.88

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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.