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Finding the Fourth Proportional to 17,824, 24,603.61 and 10,372

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Solution

The fourth proportional to 17,824, 24,603.61 and 10,372 is: 14,317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,824 : 24,603.61 = 10,372 : x
  2. Step 2: Convert to fraction form
    17,824/24,603.61 = 10,372/x
  3. Step 3: Cross multiply
    17,824x = 24,603.61 × 10,372
  4. Step 4: Simplify right side
    17,824x = 255,188,642.92
  5. Step 5: Solve for x
    x = 255,188,642.92/17,824
  6. Step 6: Final answer
    x = 14,317.14

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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.