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Finding the Fourth Proportional to 14,617.32, 21,917.88 and 7,205.82

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Solution

The fourth proportional to 14,617.32, 21,917.88 and 7,205.82 is: 10,804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617.32 : 21,917.88 = 7,205.82 : x
  2. Step 2: Convert to fraction form
    14,617.32/21,917.88 = 7,205.82/x
  3. Step 3: Cross multiply
    14,617.32x = 21,917.88 × 7,205.82
  4. Step 4: Simplify right side
    14,617.32x = 157,936,298.06
  5. Step 5: Solve for x
    x = 157,936,298.06/14,617.32
  6. Step 6: Final answer
    x = 10,804.74

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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.