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Finding the Fourth Proportional to 23,155.76, 31,955.54 and 14,198.10

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Solution

The fourth proportional to 23,155.76, 31,955.54 and 14,198.10 is: 19,593.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,155.76 : 31,955.54 = 14,198.10 : x
  2. Step 2: Convert to fraction form
    23,155.76/31,955.54 = 14,198.10/x
  3. Step 3: Cross multiply
    23,155.76x = 31,955.54 × 14,198.10
  4. Step 4: Simplify right side
    23,155.76x = 453,707,987.97
  5. Step 5: Solve for x
    x = 453,707,987.97/23,155.76
  6. Step 6: Final answer
    x = 19,593.75

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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.