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Finding the Fourth Proportional to 24,374.96, 36,567.96 and 7,736

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Solution

The fourth proportional to 24,374.96, 36,567.96 and 7,736 is: 11,605.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,374.96 : 36,567.96 = 7,736 : x
  2. Step 2: Convert to fraction form
    24,374.96/36,567.96 = 7,736/x
  3. Step 3: Cross multiply
    24,374.96x = 36,567.96 × 7,736
  4. Step 4: Simplify right side
    24,374.96x = 282,889,738.56
  5. Step 5: Solve for x
    x = 282,889,738.56/24,374.96
  6. Step 6: Final answer
    x = 11,605.75

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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.