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Finding the Fourth Proportional to 16,261.43, 24,394.22 and 5,164.16

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Solution

The fourth proportional to 16,261.43, 24,394.22 and 5,164.16 is: 7,746.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,261.43 : 24,394.22 = 5,164.16 : x
  2. Step 2: Convert to fraction form
    16,261.43/24,394.22 = 5,164.16/x
  3. Step 3: Cross multiply
    16,261.43x = 24,394.22 × 5,164.16
  4. Step 4: Simplify right side
    16,261.43x = 125,975,655.16
  5. Step 5: Solve for x
    x = 125,975,655.16/16,261.43
  6. Step 6: Final answer
    x = 7,746.90

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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.