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Finding the Fourth Proportional to 22,968, 34,464.96 and 10,656

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Solution

The fourth proportional to 22,968, 34,464.96 and 10,656 is: 15,990.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,968 : 34,464.96 = 10,656 : x
  2. Step 2: Convert to fraction form
    22,968/34,464.96 = 10,656/x
  3. Step 3: Cross multiply
    22,968x = 34,464.96 × 10,656
  4. Step 4: Simplify right side
    22,968x = 367,258,613.76
  5. Step 5: Solve for x
    x = 367,258,613.76/22,968
  6. Step 6: Final answer
    x = 15,990.01

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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.