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Finding the Fourth Proportional to 16,835.24, 25,248.66 and 6,977.24

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Solution

The fourth proportional to 16,835.24, 25,248.66 and 6,977.24 is: 10,464.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,835.24 : 25,248.66 = 6,977.24 : x
  2. Step 2: Convert to fraction form
    16,835.24/25,248.66 = 6,977.24/x
  3. Step 3: Cross multiply
    16,835.24x = 25,248.66 × 6,977.24
  4. Step 4: Simplify right side
    16,835.24x = 176,165,960.50
  5. Step 5: Solve for x
    x = 176,165,960.50/16,835.24
  6. Step 6: Final answer
    x = 10,464.12

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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.