Home / 16,898.50-23,322.78-9,829

Finding the Fourth Proportional to 16,898.50, 23,322.78 and 9,829

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Solution

The fourth proportional to 16,898.50, 23,322.78 and 9,829 is: 13,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,898.50 : 23,322.78 = 9,829 : x
  2. Step 2: Convert to fraction form
    16,898.50/23,322.78 = 9,829/x
  3. Step 3: Cross multiply
    16,898.50x = 23,322.78 × 9,829
  4. Step 4: Simplify right side
    16,898.50x = 229,239,604.62
  5. Step 5: Solve for x
    x = 229,239,604.62/16,898.50
  6. Step 6: Final answer
    x = 13,565.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.