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Finding the Fourth Proportional to 20,507.16, 28,299.90 and 12,007.74

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Solution

The fourth proportional to 20,507.16, 28,299.90 and 12,007.74 is: 16,570.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507.16 : 28,299.90 = 12,007.74 : x
  2. Step 2: Convert to fraction form
    20,507.16/28,299.90 = 12,007.74/x
  3. Step 3: Cross multiply
    20,507.16x = 28,299.90 × 12,007.74
  4. Step 4: Simplify right side
    20,507.16x = 339,817,841.23
  5. Step 5: Solve for x
    x = 339,817,841.23/20,507.16
  6. Step 6: Final answer
    x = 16,570.69

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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.