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Finding the Fourth Proportional to 21,141.84, 31,710.24 and 5,560.68

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Solution

The fourth proportional to 21,141.84, 31,710.24 and 5,560.68 is: 8,340.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,141.84 : 31,710.24 = 5,560.68 : x
  2. Step 2: Convert to fraction form
    21,141.84/31,710.24 = 5,560.68/x
  3. Step 3: Cross multiply
    21,141.84x = 31,710.24 × 5,560.68
  4. Step 4: Simplify right side
    21,141.84x = 176,330,497.36
  5. Step 5: Solve for x
    x = 176,330,497.36/21,141.84
  6. Step 6: Final answer
    x = 8,340.36

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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.