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Finding the Fourth Proportional to 16,507.82, 22,780.86 and 9,434.48

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Solution

The fourth proportional to 16,507.82, 22,780.86 and 9,434.48 is: 13,019.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.82 : 22,780.86 = 9,434.48 : x
  2. Step 2: Convert to fraction form
    16,507.82/22,780.86 = 9,434.48/x
  3. Step 3: Cross multiply
    16,507.82x = 22,780.86 × 9,434.48
  4. Step 4: Simplify right side
    16,507.82x = 214,925,568.05
  5. Step 5: Solve for x
    x = 214,925,568.05/16,507.82
  6. Step 6: Final answer
    x = 13,019.62

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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.