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Finding the Fourth Proportional to 23,356.72, 32,231.46 and 13,284.40

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Solution

The fourth proportional to 23,356.72, 32,231.46 and 13,284.40 is: 18,332.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,356.72 : 32,231.46 = 13,284.40 : x
  2. Step 2: Convert to fraction form
    23,356.72/32,231.46 = 13,284.40/x
  3. Step 3: Cross multiply
    23,356.72x = 32,231.46 × 13,284.40
  4. Step 4: Simplify right side
    23,356.72x = 428,175,607.22
  5. Step 5: Solve for x
    x = 428,175,607.22/23,356.72
  6. Step 6: Final answer
    x = 18,332.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.