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Finding the Fourth Proportional to 21,657.60, 29,887.16 and 12,097.64

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Solution

The fourth proportional to 21,657.60, 29,887.16 and 12,097.64 is: 16,694.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,657.60 : 29,887.16 = 12,097.64 : x
  2. Step 2: Convert to fraction form
    21,657.60/29,887.16 = 12,097.64/x
  3. Step 3: Cross multiply
    21,657.60x = 29,887.16 × 12,097.64
  4. Step 4: Simplify right side
    21,657.60x = 361,564,207.26
  5. Step 5: Solve for x
    x = 361,564,207.26/21,657.60
  6. Step 6: Final answer
    x = 16,694.56

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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.