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Finding the Fourth Proportional to 20,291.64, 28,007.14 and 13,205.76

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Solution

The fourth proportional to 20,291.64, 28,007.14 and 13,205.76 is: 18,226.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,291.64 : 28,007.14 = 13,205.76 : x
  2. Step 2: Convert to fraction form
    20,291.64/28,007.14 = 13,205.76/x
  3. Step 3: Cross multiply
    20,291.64x = 28,007.14 × 13,205.76
  4. Step 4: Simplify right side
    20,291.64x = 369,855,569.13
  5. Step 5: Solve for x
    x = 369,855,569.13/20,291.64
  6. Step 6: Final answer
    x = 18,226.99

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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.