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Finding the Fourth Proportional to 17,793.09, 24,555.74 and 9,835.16

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Solution

The fourth proportional to 17,793.09, 24,555.74 and 9,835.16 is: 13,573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,793.09 : 24,555.74 = 9,835.16 : x
  2. Step 2: Convert to fraction form
    17,793.09/24,555.74 = 9,835.16/x
  3. Step 3: Cross multiply
    17,793.09x = 24,555.74 × 9,835.16
  4. Step 4: Simplify right side
    17,793.09x = 241,509,459.86
  5. Step 5: Solve for x
    x = 241,509,459.86/17,793.09
  6. Step 6: Final answer
    x = 13,573.22

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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.