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Finding the Fourth Proportional to 24,362.73, 36,539.96 and 6,828.53

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Solution

The fourth proportional to 24,362.73, 36,539.96 and 6,828.53 is: 10,241.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,362.73 : 36,539.96 = 6,828.53 : x
  2. Step 2: Convert to fraction form
    24,362.73/36,539.96 = 6,828.53/x
  3. Step 3: Cross multiply
    24,362.73x = 36,539.96 × 6,828.53
  4. Step 4: Simplify right side
    24,362.73x = 249,513,996.22
  5. Step 5: Solve for x
    x = 249,513,996.22/24,362.73
  6. Step 6: Final answer
    x = 10,241.63

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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.