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Finding the Fourth Proportional to 21,321.89, 29,415.12 and 15,646.77

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Solution

The fourth proportional to 21,321.89, 29,415.12 and 15,646.77 is: 21,585.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,321.89 : 29,415.12 = 15,646.77 : x
  2. Step 2: Convert to fraction form
    21,321.89/29,415.12 = 15,646.77/x
  3. Step 3: Cross multiply
    21,321.89x = 29,415.12 × 15,646.77
  4. Step 4: Simplify right side
    21,321.89x = 460,251,617.16
  5. Step 5: Solve for x
    x = 460,251,617.16/21,321.89
  6. Step 6: Final answer
    x = 21,585.88

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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.