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Finding the Fourth Proportional to 16,598.21, 22,905.32 and 9,524.48

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Solution

The fourth proportional to 16,598.21, 22,905.32 and 9,524.48 is: 13,143.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,598.21 : 22,905.32 = 9,524.48 : x
  2. Step 2: Convert to fraction form
    16,598.21/22,905.32 = 9,524.48/x
  3. Step 3: Cross multiply
    16,598.21x = 22,905.32 × 9,524.48
  4. Step 4: Simplify right side
    16,598.21x = 218,161,100.08
  5. Step 5: Solve for x
    x = 218,161,100.08/16,598.21
  6. Step 6: Final answer
    x = 13,143.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.