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Finding the Fourth Proportional to 20,767.47, 28,669.40 and 12,814.08

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Solution

The fourth proportional to 20,767.47, 28,669.40 and 12,814.08 is: 17,689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,767.47 : 28,669.40 = 12,814.08 : x
  2. Step 2: Convert to fraction form
    20,767.47/28,669.40 = 12,814.08/x
  3. Step 3: Cross multiply
    20,767.47x = 28,669.40 × 12,814.08
  4. Step 4: Simplify right side
    20,767.47x = 367,371,921.08
  5. Step 5: Solve for x
    x = 367,371,921.08/20,767.47
  6. Step 6: Final answer
    x = 17,689.78

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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.