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Finding the Fourth Proportional to 21,135.88, 29,165.16 and 11,702.08

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Solution

The fourth proportional to 21,135.88, 29,165.16 and 11,702.08 is: 16,147.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,135.88 : 29,165.16 = 11,702.08 : x
  2. Step 2: Convert to fraction form
    21,135.88/29,165.16 = 11,702.08/x
  3. Step 3: Cross multiply
    21,135.88x = 29,165.16 × 11,702.08
  4. Step 4: Simplify right side
    21,135.88x = 341,293,035.53
  5. Step 5: Solve for x
    x = 341,293,035.53/21,135.88
  6. Step 6: Final answer
    x = 16,147.57

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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.