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Finding the Fourth Proportional to 24,415.94, 36,629.44 and 7,776.92

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Solution

The fourth proportional to 24,415.94, 36,629.44 and 7,776.92 is: 11,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,415.94 : 36,629.44 = 7,776.92 : x
  2. Step 2: Convert to fraction form
    24,415.94/36,629.44 = 7,776.92/x
  3. Step 3: Cross multiply
    24,415.94x = 36,629.44 × 7,776.92
  4. Step 4: Simplify right side
    24,415.94x = 284,864,296.66
  5. Step 5: Solve for x
    x = 284,864,296.66/24,415.94
  6. Step 6: Final answer
    x = 11,667.14

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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.