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Finding the Fourth Proportional to 21,403.95, 29,565.68 and 16,429.64

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Solution

The fourth proportional to 21,403.95, 29,565.68 and 16,429.64 is: 22,694.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,403.95 : 29,565.68 = 16,429.64 : x
  2. Step 2: Convert to fraction form
    21,403.95/29,565.68 = 16,429.64/x
  3. Step 3: Cross multiply
    21,403.95x = 29,565.68 × 16,429.64
  4. Step 4: Simplify right side
    21,403.95x = 485,753,387.40
  5. Step 5: Solve for x
    x = 485,753,387.40/21,403.95
  6. Step 6: Final answer
    x = 22,694.57

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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.