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Finding the Fourth Proportional to 23,172.54, 34,756.94 and 7,378.16

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Solution

The fourth proportional to 23,172.54, 34,756.94 and 7,378.16 is: 11,066.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,172.54 : 34,756.94 = 7,378.16 : x
  2. Step 2: Convert to fraction form
    23,172.54/34,756.94 = 7,378.16/x
  3. Step 3: Cross multiply
    23,172.54x = 34,756.94 × 7,378.16
  4. Step 4: Simplify right side
    23,172.54x = 256,442,264.43
  5. Step 5: Solve for x
    x = 256,442,264.43/23,172.54
  6. Step 6: Final answer
    x = 11,066.64

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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.