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Finding the Fourth Proportional to 16,308.28, 24,463 and 5,779.40

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Solution

The fourth proportional to 16,308.28, 24,463 and 5,779.40 is: 8,669.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,308.28 : 24,463 = 5,779.40 : x
  2. Step 2: Convert to fraction form
    16,308.28/24,463 = 5,779.40/x
  3. Step 3: Cross multiply
    16,308.28x = 24,463 × 5,779.40
  4. Step 4: Simplify right side
    16,308.28x = 141,381,462.20
  5. Step 5: Solve for x
    x = 141,381,462.20/16,308.28
  6. Step 6: Final answer
    x = 8,669.31

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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.