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Finding the Fourth Proportional to 20,497.82, 28,289.70 and 11,547.09

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Solution

The fourth proportional to 20,497.82, 28,289.70 and 11,547.09 is: 15,936.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.82 : 28,289.70 = 11,547.09 : x
  2. Step 2: Convert to fraction form
    20,497.82/28,289.70 = 11,547.09/x
  3. Step 3: Cross multiply
    20,497.82x = 28,289.70 × 11,547.09
  4. Step 4: Simplify right side
    20,497.82x = 326,663,711.97
  5. Step 5: Solve for x
    x = 326,663,711.97/20,497.82
  6. Step 6: Final answer
    x = 15,936.51

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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.