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Finding the Fourth Proportional to 19,702.24, 27,188.95 and 11,204.36

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Solution

The fourth proportional to 19,702.24, 27,188.95 and 11,204.36 is: 15,461.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702.24 : 27,188.95 = 11,204.36 : x
  2. Step 2: Convert to fraction form
    19,702.24/27,188.95 = 11,204.36/x
  3. Step 3: Cross multiply
    19,702.24x = 27,188.95 × 11,204.36
  4. Step 4: Simplify right side
    19,702.24x = 304,634,591.86
  5. Step 5: Solve for x
    x = 304,634,591.86/19,702.24
  6. Step 6: Final answer
    x = 15,461.93

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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.