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Finding the Fourth Proportional to 26,252.12, 39,333.63 and 15,842

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Solution

The fourth proportional to 26,252.12, 39,333.63 and 15,842 is: 23,736.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,252.12 : 39,333.63 = 15,842 : x
  2. Step 2: Convert to fraction form
    26,252.12/39,333.63 = 15,842/x
  3. Step 3: Cross multiply
    26,252.12x = 39,333.63 × 15,842
  4. Step 4: Simplify right side
    26,252.12x = 623,123,366.46
  5. Step 5: Solve for x
    x = 623,123,366.46/26,252.12
  6. Step 6: Final answer
    x = 23,736.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.