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Finding the Fourth Proportional to 17,699.12, 24,423.86 and 9,739.82

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Solution

The fourth proportional to 17,699.12, 24,423.86 and 9,739.82 is: 13,440.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,699.12 : 24,423.86 = 9,739.82 : x
  2. Step 2: Convert to fraction form
    17,699.12/24,423.86 = 9,739.82/x
  3. Step 3: Cross multiply
    17,699.12x = 24,423.86 × 9,739.82
  4. Step 4: Simplify right side
    17,699.12x = 237,883,829.29
  5. Step 5: Solve for x
    x = 237,883,829.29/17,699.12
  6. Step 6: Final answer
    x = 13,440.44

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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.