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Finding the Fourth Proportional to 24,362.40, 36,525.76 and 7,713.12

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Solution

The fourth proportional to 24,362.40, 36,525.76 and 7,713.12 is: 11,564.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,362.40 : 36,525.76 = 7,713.12 : x
  2. Step 2: Convert to fraction form
    24,362.40/36,525.76 = 7,713.12/x
  3. Step 3: Cross multiply
    24,362.40x = 36,525.76 × 7,713.12
  4. Step 4: Simplify right side
    24,362.40x = 281,727,569.97
  5. Step 5: Solve for x
    x = 281,727,569.97/24,362.40
  6. Step 6: Final answer
    x = 11,564.03

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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.