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Finding the Fourth Proportional to 21,523.64, 29,689.22 and 14,797.59

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Solution

The fourth proportional to 21,523.64, 29,689.22 and 14,797.59 is: 20,411.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,523.64 : 29,689.22 = 14,797.59 : x
  2. Step 2: Convert to fraction form
    21,523.64/29,689.22 = 14,797.59/x
  3. Step 3: Cross multiply
    21,523.64x = 29,689.22 × 14,797.59
  4. Step 4: Simplify right side
    21,523.64x = 439,328,935.08
  5. Step 5: Solve for x
    x = 439,328,935.08/21,523.64
  6. Step 6: Final answer
    x = 20,411.46

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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.