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Finding the Fourth Proportional to 21,700.14, 29,924.64 and 16,335.42

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Solution

The fourth proportional to 21,700.14, 29,924.64 and 16,335.42 is: 22,526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,700.14 : 29,924.64 = 16,335.42 : x
  2. Step 2: Convert to fraction form
    21,700.14/29,924.64 = 16,335.42/x
  3. Step 3: Cross multiply
    21,700.14x = 29,924.64 × 16,335.42
  4. Step 4: Simplify right side
    21,700.14x = 488,831,562.75
  5. Step 5: Solve for x
    x = 488,831,562.75/21,700.14
  6. Step 6: Final answer
    x = 22,526.65

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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.