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Finding the Fourth Proportional to 21,216.40, 29,276.86 and 11,656

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Solution

The fourth proportional to 21,216.40, 29,276.86 and 11,656 is: 16,084.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,216.40 : 29,276.86 = 11,656 : x
  2. Step 2: Convert to fraction form
    21,216.40/29,276.86 = 11,656/x
  3. Step 3: Cross multiply
    21,216.40x = 29,276.86 × 11,656
  4. Step 4: Simplify right side
    21,216.40x = 341,251,080.16
  5. Step 5: Solve for x
    x = 341,251,080.16/21,216.40
  6. Step 6: Final answer
    x = 16,084.31

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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.