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Finding the Fourth Proportional to 24,212.30, 36,317.84 and 9,977.63

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Solution

The fourth proportional to 24,212.30, 36,317.84 and 9,977.63 is: 14,966.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,212.30 : 36,317.84 = 9,977.63 : x
  2. Step 2: Convert to fraction form
    24,212.30/36,317.84 = 9,977.63/x
  3. Step 3: Cross multiply
    24,212.30x = 36,317.84 × 9,977.63
  4. Step 4: Simplify right side
    24,212.30x = 362,365,738.44
  5. Step 5: Solve for x
    x = 362,365,738.44/24,212.30
  6. Step 6: Final answer
    x = 14,966.19

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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.