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Finding the Fourth Proportional to 24,367.96, 36,557.46 and 7,729

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Solution

The fourth proportional to 24,367.96, 36,557.46 and 7,729 is: 11,595.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,367.96 : 36,557.46 = 7,729 : x
  2. Step 2: Convert to fraction form
    24,367.96/36,557.46 = 7,729/x
  3. Step 3: Cross multiply
    24,367.96x = 36,557.46 × 7,729
  4. Step 4: Simplify right side
    24,367.96x = 282,552,608.34
  5. Step 5: Solve for x
    x = 282,552,608.34/24,367.96
  6. Step 6: Final answer
    x = 11,595.25

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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.