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Finding the Fourth Proportional to 16,507.25, 24,761.09 and 6,119

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Solution

The fourth proportional to 16,507.25, 24,761.09 and 6,119 is: 9,178.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.25 : 24,761.09 = 6,119 : x
  2. Step 2: Convert to fraction form
    16,507.25/24,761.09 = 6,119/x
  3. Step 3: Cross multiply
    16,507.25x = 24,761.09 × 6,119
  4. Step 4: Simplify right side
    16,507.25x = 151,513,109.71
  5. Step 5: Solve for x
    x = 151,513,109.71/16,507.25
  6. Step 6: Final answer
    x = 9,178.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.