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Finding the Fourth Proportional to 19,414, 26,791.32 and 10,582

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Solution

The fourth proportional to 19,414, 26,791.32 and 10,582 is: 14,603.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,414 : 26,791.32 = 10,582 : x
  2. Step 2: Convert to fraction form
    19,414/26,791.32 = 10,582/x
  3. Step 3: Cross multiply
    19,414x = 26,791.32 × 10,582
  4. Step 4: Simplify right side
    19,414x = 283,505,748.24
  5. Step 5: Solve for x
    x = 283,505,748.24/19,414
  6. Step 6: Final answer
    x = 14,603.16

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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.