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Finding the Fourth Proportional to 19,490.97, 29,214.57 and 9,637.17

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Solution

The fourth proportional to 19,490.97, 29,214.57 and 9,637.17 is: 14,444.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,490.97 : 29,214.57 = 9,637.17 : x
  2. Step 2: Convert to fraction form
    19,490.97/29,214.57 = 9,637.17/x
  3. Step 3: Cross multiply
    19,490.97x = 29,214.57 × 9,637.17
  4. Step 4: Simplify right side
    19,490.97x = 281,545,777.57
  5. Step 5: Solve for x
    x = 281,545,777.57/19,490.97
  6. Step 6: Final answer
    x = 14,444.93

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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.