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Finding the Fourth Proportional to 19,702.14, 27,188.51 and 11,200.17

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Solution

The fourth proportional to 19,702.14, 27,188.51 and 11,200.17 is: 15,455.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702.14 : 27,188.51 = 11,200.17 : x
  2. Step 2: Convert to fraction form
    19,702.14/27,188.51 = 11,200.17/x
  3. Step 3: Cross multiply
    19,702.14x = 27,188.51 × 11,200.17
  4. Step 4: Simplify right side
    19,702.14x = 304,516,043.00
  5. Step 5: Solve for x
    x = 304,516,043.00/19,702.14
  6. Step 6: Final answer
    x = 15,455.99

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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.