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Finding the Fourth Proportional to 24,384.59, 36,576.71 and 7,745.93

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Solution

The fourth proportional to 24,384.59, 36,576.71 and 7,745.93 is: 11,618.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.59 : 36,576.71 = 7,745.93 : x
  2. Step 2: Convert to fraction form
    24,384.59/36,576.71 = 7,745.93/x
  3. Step 3: Cross multiply
    24,384.59x = 36,576.71 × 7,745.93
  4. Step 4: Simplify right side
    24,384.59x = 283,320,623.46
  5. Step 5: Solve for x
    x = 283,320,623.46/24,384.59
  6. Step 6: Final answer
    x = 11,618.84

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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.