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Finding the Fourth Proportional to 26,294.40, 39,435.84 and 7,574.40

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Solution

The fourth proportional to 26,294.40, 39,435.84 and 7,574.40 is: 11,359.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,294.40 : 39,435.84 = 7,574.40 : x
  2. Step 2: Convert to fraction form
    26,294.40/39,435.84 = 7,574.40/x
  3. Step 3: Cross multiply
    26,294.40x = 39,435.84 × 7,574.40
  4. Step 4: Simplify right side
    26,294.40x = 298,702,826.50
  5. Step 5: Solve for x
    x = 298,702,826.50/26,294.40
  6. Step 6: Final answer
    x = 11,359.94

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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.