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Finding the Fourth Proportional to 14,496.39, 21,752.78 and 6,175.53

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Solution

The fourth proportional to 14,496.39, 21,752.78 and 6,175.53 is: 9,266.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.39 : 21,752.78 = 6,175.53 : x
  2. Step 2: Convert to fraction form
    14,496.39/21,752.78 = 6,175.53/x
  3. Step 3: Cross multiply
    14,496.39x = 21,752.78 × 6,175.53
  4. Step 4: Simplify right side
    14,496.39x = 134,334,914.60
  5. Step 5: Solve for x
    x = 134,334,914.60/14,496.39
  6. Step 6: Final answer
    x = 9,266.78

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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.