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Finding the Fourth Proportional to 24,564.68, 36,846.90 and 7,034.50

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Solution

The fourth proportional to 24,564.68, 36,846.90 and 7,034.50 is: 10,551.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,564.68 : 36,846.90 = 7,034.50 : x
  2. Step 2: Convert to fraction form
    24,564.68/36,846.90 = 7,034.50/x
  3. Step 3: Cross multiply
    24,564.68x = 36,846.90 × 7,034.50
  4. Step 4: Simplify right side
    24,564.68x = 259,199,518.05
  5. Step 5: Solve for x
    x = 259,199,518.05/24,564.68
  6. Step 6: Final answer
    x = 10,551.72

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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.