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Finding the Fourth Proportional to 21,197.80, 31,727.58 and 14,953.96

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Solution

The fourth proportional to 21,197.80, 31,727.58 and 14,953.96 is: 22,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,197.80 : 31,727.58 = 14,953.96 : x
  2. Step 2: Convert to fraction form
    21,197.80/31,727.58 = 14,953.96/x
  3. Step 3: Cross multiply
    21,197.80x = 31,727.58 × 14,953.96
  4. Step 4: Simplify right side
    21,197.80x = 474,452,962.22
  5. Step 5: Solve for x
    x = 474,452,962.22/21,197.80
  6. Step 6: Final answer
    x = 22,382.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.