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Finding the Fourth Proportional to 21,894.69, 30,214.91 and 12,463.32

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Solution

The fourth proportional to 21,894.69, 30,214.91 and 12,463.32 is: 17,199.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894.69 : 30,214.91 = 12,463.32 : x
  2. Step 2: Convert to fraction form
    21,894.69/30,214.91 = 12,463.32/x
  3. Step 3: Cross multiply
    21,894.69x = 30,214.91 × 12,463.32
  4. Step 4: Simplify right side
    21,894.69x = 376,578,092.10
  5. Step 5: Solve for x
    x = 376,578,092.10/21,894.69
  6. Step 6: Final answer
    x = 17,199.52

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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.