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Finding the Fourth Proportional to 24,355.94, 36,535.12 and 6,827.54

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Solution

The fourth proportional to 24,355.94, 36,535.12 and 6,827.54 is: 10,241.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,355.94 : 36,535.12 = 6,827.54 : x
  2. Step 2: Convert to fraction form
    24,355.94/36,535.12 = 6,827.54/x
  3. Step 3: Cross multiply
    24,355.94x = 36,535.12 × 6,827.54
  4. Step 4: Simplify right side
    24,355.94x = 249,444,993.20
  5. Step 5: Solve for x
    x = 249,444,993.20/24,355.94
  6. Step 6: Final answer
    x = 10,241.65

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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.