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Finding the Fourth Proportional to 23,107.66, 31,878.28 and 13,670.76

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Solution

The fourth proportional to 23,107.66, 31,878.28 and 13,670.76 is: 18,859.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,107.66 : 31,878.28 = 13,670.76 : x
  2. Step 2: Convert to fraction form
    23,107.66/31,878.28 = 13,670.76/x
  3. Step 3: Cross multiply
    23,107.66x = 31,878.28 × 13,670.76
  4. Step 4: Simplify right side
    23,107.66x = 435,800,315.09
  5. Step 5: Solve for x
    x = 435,800,315.09/23,107.66
  6. Step 6: Final answer
    x = 18,859.56

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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.