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Finding the Fourth Proportional to 19,643.84, 27,107.70 and 10,691.36

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Solution

The fourth proportional to 19,643.84, 27,107.70 and 10,691.36 is: 14,753.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,643.84 : 27,107.70 = 10,691.36 : x
  2. Step 2: Convert to fraction form
    19,643.84/27,107.70 = 10,691.36/x
  3. Step 3: Cross multiply
    19,643.84x = 27,107.70 × 10,691.36
  4. Step 4: Simplify right side
    19,643.84x = 289,818,179.47
  5. Step 5: Solve for x
    x = 289,818,179.47/19,643.84
  6. Step 6: Final answer
    x = 14,753.64

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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.