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Finding the Fourth Proportional to 24,395.57, 36,588.73 and 7,755.74

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Solution

The fourth proportional to 24,395.57, 36,588.73 and 7,755.74 is: 11,632.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,395.57 : 36,588.73 = 7,755.74 : x
  2. Step 2: Convert to fraction form
    24,395.57/36,588.73 = 7,755.74/x
  3. Step 3: Cross multiply
    24,395.57x = 36,588.73 × 7,755.74
  4. Step 4: Simplify right side
    24,395.57x = 283,772,676.81
  5. Step 5: Solve for x
    x = 283,772,676.81/24,395.57
  6. Step 6: Final answer
    x = 11,632.14

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1.5x scale

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.