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Finding the Fourth Proportional to 15,633.14, 21,573.70 and 8,463.02

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Solution

The fourth proportional to 15,633.14, 21,573.70 and 8,463.02 is: 11,678.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,633.14 : 21,573.70 = 8,463.02 : x
  2. Step 2: Convert to fraction form
    15,633.14/21,573.70 = 8,463.02/x
  3. Step 3: Cross multiply
    15,633.14x = 21,573.70 × 8,463.02
  4. Step 4: Simplify right side
    15,633.14x = 182,578,546.71
  5. Step 5: Solve for x
    x = 182,578,546.71/15,633.14
  6. Step 6: Final answer
    x = 11,678.95

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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.