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Finding the Fourth Proportional to 15,204.16, 22,807.68 and 5,968

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Solution

The fourth proportional to 15,204.16, 22,807.68 and 5,968 is: 8,952.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,204.16 : 22,807.68 = 5,968 : x
  2. Step 2: Convert to fraction form
    15,204.16/22,807.68 = 5,968/x
  3. Step 3: Cross multiply
    15,204.16x = 22,807.68 × 5,968
  4. Step 4: Simplify right side
    15,204.16x = 136,116,234.24
  5. Step 5: Solve for x
    x = 136,116,234.24/15,204.16
  6. Step 6: Final answer
    x = 8,952.57

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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.