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Finding the Fourth Proportional to 23,046.72, 31,806.86 and 14,100.17

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Solution

The fourth proportional to 23,046.72, 31,806.86 and 14,100.17 is: 19,459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,046.72 : 31,806.86 = 14,100.17 : x
  2. Step 2: Convert to fraction form
    23,046.72/31,806.86 = 14,100.17/x
  3. Step 3: Cross multiply
    23,046.72x = 31,806.86 × 14,100.17
  4. Step 4: Simplify right side
    23,046.72x = 448,482,142.18
  5. Step 5: Solve for x
    x = 448,482,142.18/23,046.72
  6. Step 6: Final answer
    x = 19,459.70

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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.