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Finding the Fourth Proportional to 14,497.39, 21,754.28 and 6,176.53

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Solution

The fourth proportional to 14,497.39, 21,754.28 and 6,176.53 is: 9,268.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.39 : 21,754.28 = 6,176.53 : x
  2. Step 2: Convert to fraction form
    14,497.39/21,754.28 = 6,176.53/x
  3. Step 3: Cross multiply
    14,497.39x = 21,754.28 × 6,176.53
  4. Step 4: Simplify right side
    14,497.39x = 134,365,963.05
  5. Step 5: Solve for x
    x = 134,365,963.05/14,497.39
  6. Step 6: Final answer
    x = 9,268.29

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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.