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Finding the Fourth Proportional to 24,387.71, 36,577.73 and 7,745.54

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Solution

The fourth proportional to 24,387.71, 36,577.73 and 7,745.54 is: 11,617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,387.71 : 36,577.73 = 7,745.54 : x
  2. Step 2: Convert to fraction form
    24,387.71/36,577.73 = 7,745.54/x
  3. Step 3: Cross multiply
    24,387.71x = 36,577.73 × 7,745.54
  4. Step 4: Simplify right side
    24,387.71x = 283,314,381.63
  5. Step 5: Solve for x
    x = 283,314,381.63/24,387.71
  6. Step 6: Final answer
    x = 11,617.10

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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.