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Finding the Fourth Proportional to 20,497.50, 28,281.69 and 11,543.22

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Solution

The fourth proportional to 20,497.50, 28,281.69 and 11,543.22 is: 15,926.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.50 : 28,281.69 = 11,543.22 : x
  2. Step 2: Convert to fraction form
    20,497.50/28,281.69 = 11,543.22/x
  3. Step 3: Cross multiply
    20,497.50x = 28,281.69 × 11,543.22
  4. Step 4: Simplify right side
    20,497.50x = 326,461,769.64
  5. Step 5: Solve for x
    x = 326,461,769.64/20,497.50
  6. Step 6: Final answer
    x = 15,926.91

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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.