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Finding the Fourth Proportional to 16,427.59, 24,638.69 and 4,582.17

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Solution

The fourth proportional to 16,427.59, 24,638.69 and 4,582.17 is: 6,872.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,427.59 : 24,638.69 = 4,582.17 : x
  2. Step 2: Convert to fraction form
    16,427.59/24,638.69 = 4,582.17/x
  3. Step 3: Cross multiply
    16,427.59x = 24,638.69 × 4,582.17
  4. Step 4: Simplify right side
    16,427.59x = 112,898,550.85
  5. Step 5: Solve for x
    x = 112,898,550.85/16,427.59
  6. Step 6: Final answer
    x = 6,872.50

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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.