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Finding the Fourth Proportional to 16,594.63, 24,891.63 and 4,114.69

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Solution

The fourth proportional to 16,594.63, 24,891.63 and 4,114.69 is: 6,171.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,594.63 : 24,891.63 = 4,114.69 : x
  2. Step 2: Convert to fraction form
    16,594.63/24,891.63 = 4,114.69/x
  3. Step 3: Cross multiply
    16,594.63x = 24,891.63 × 4,114.69
  4. Step 4: Simplify right side
    16,594.63x = 102,421,341.04
  5. Step 5: Solve for x
    x = 102,421,341.04/16,594.63
  6. Step 6: Final answer
    x = 6,171.96

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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.