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Finding the Fourth Proportional to 22,898.40, 31,598.90 and 12,826.24

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Solution

The fourth proportional to 22,898.40, 31,598.90 and 12,826.24 is: 17,699.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,898.40 : 31,598.90 = 12,826.24 : x
  2. Step 2: Convert to fraction form
    22,898.40/31,598.90 = 12,826.24/x
  3. Step 3: Cross multiply
    22,898.40x = 31,598.90 × 12,826.24
  4. Step 4: Simplify right side
    22,898.40x = 405,295,198.76
  5. Step 5: Solve for x
    x = 405,295,198.76/22,898.40
  6. Step 6: Final answer
    x = 17,699.71

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1.5x scale

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.