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Finding the Fourth Proportional to 16,207, 24,308.44 and 6,353.20

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Solution

The fourth proportional to 16,207, 24,308.44 and 6,353.20 is: 9,528.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,207 : 24,308.44 = 6,353.20 : x
  2. Step 2: Convert to fraction form
    16,207/24,308.44 = 6,353.20/x
  3. Step 3: Cross multiply
    16,207x = 24,308.44 × 6,353.20
  4. Step 4: Simplify right side
    16,207x = 154,436,381.01
  5. Step 5: Solve for x
    x = 154,436,381.01/16,207
  6. Step 6: Final answer
    x = 9,528.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.