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Finding the Fourth Proportional to 16,519.34, 24,779.77 and 4,674

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Solution

The fourth proportional to 16,519.34, 24,779.77 and 4,674 is: 7,011.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,519.34 : 24,779.77 = 4,674 : x
  2. Step 2: Convert to fraction form
    16,519.34/24,779.77 = 4,674/x
  3. Step 3: Cross multiply
    16,519.34x = 24,779.77 × 4,674
  4. Step 4: Simplify right side
    16,519.34x = 115,820,621.61
  5. Step 5: Solve for x
    x = 115,820,621.61/16,519.34
  6. Step 6: Final answer
    x = 7,011.22

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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.