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Finding the Fourth Proportional to 15,175.96, 22,767.32 and 4,647.46

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Solution

The fourth proportional to 15,175.96, 22,767.32 and 4,647.46 is: 6,972.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.96 : 22,767.32 = 4,647.46 : x
  2. Step 2: Convert to fraction form
    15,175.96/22,767.32 = 4,647.46/x
  3. Step 3: Cross multiply
    15,175.96x = 22,767.32 × 4,647.46
  4. Step 4: Simplify right side
    15,175.96x = 105,810,220.63
  5. Step 5: Solve for x
    x = 105,810,220.63/15,175.96
  6. Step 6: Final answer
    x = 6,972.23

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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.