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Finding the Fourth Proportional to 21,417.66, 29,565.64 and 16,113.78

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Solution

The fourth proportional to 21,417.66, 29,565.64 and 16,113.78 is: 22,243.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,417.66 : 29,565.64 = 16,113.78 : x
  2. Step 2: Convert to fraction form
    21,417.66/29,565.64 = 16,113.78/x
  3. Step 3: Cross multiply
    21,417.66x = 29,565.64 × 16,113.78
  4. Step 4: Simplify right side
    21,417.66x = 476,414,218.52
  5. Step 5: Solve for x
    x = 476,414,218.52/21,417.66
  6. Step 6: Final answer
    x = 22,243.99

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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.