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Finding the Fourth Proportional to 19,964.94, 27,569.34 and 12,424.20

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Solution

The fourth proportional to 19,964.94, 27,569.34 and 12,424.20 is: 17,156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,964.94 : 27,569.34 = 12,424.20 : x
  2. Step 2: Convert to fraction form
    19,964.94/27,569.34 = 12,424.20/x
  3. Step 3: Cross multiply
    19,964.94x = 27,569.34 × 12,424.20
  4. Step 4: Simplify right side
    19,964.94x = 342,526,994.03
  5. Step 5: Solve for x
    x = 342,526,994.03/19,964.94
  6. Step 6: Final answer
    x = 17,156.42

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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.