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Finding the Fourth Proportional to 24,010.72, 35,994.16 and 8,419.84

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Solution

The fourth proportional to 24,010.72, 35,994.16 and 8,419.84 is: 12,622.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,010.72 : 35,994.16 = 8,419.84 : x
  2. Step 2: Convert to fraction form
    24,010.72/35,994.16 = 8,419.84/x
  3. Step 3: Cross multiply
    24,010.72x = 35,994.16 × 8,419.84
  4. Step 4: Simplify right side
    24,010.72x = 303,065,068.13
  5. Step 5: Solve for x
    x = 303,065,068.13/24,010.72
  6. Step 6: Final answer
    x = 12,622.07

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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.