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Finding the Fourth Proportional to 21,133.44, 29,164 and 11,702.08

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Solution

The fourth proportional to 21,133.44, 29,164 and 11,702.08 is: 16,148.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,133.44 : 29,164 = 11,702.08 : x
  2. Step 2: Convert to fraction form
    21,133.44/29,164 = 11,702.08/x
  3. Step 3: Cross multiply
    21,133.44x = 29,164 × 11,702.08
  4. Step 4: Simplify right side
    21,133.44x = 341,279,461.12
  5. Step 5: Solve for x
    x = 341,279,461.12/21,133.44
  6. Step 6: Final answer
    x = 16,148.79

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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.