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Finding the Fourth Proportional to 17,435.66, 26,152 and 6,902.82

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Solution

The fourth proportional to 17,435.66, 26,152 and 6,902.82 is: 10,353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,435.66 : 26,152 = 6,902.82 : x
  2. Step 2: Convert to fraction form
    17,435.66/26,152 = 6,902.82/x
  3. Step 3: Cross multiply
    17,435.66x = 26,152 × 6,902.82
  4. Step 4: Simplify right side
    17,435.66x = 180,522,417.88
  5. Step 5: Solve for x
    x = 180,522,417.88/17,435.66
  6. Step 6: Final answer
    x = 10,353.64

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