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Finding the Fourth Proportional to 17,657.56, 24,367.98 and 9,699.64

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Solution

The fourth proportional to 17,657.56, 24,367.98 and 9,699.64 is: 13,385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.56 : 24,367.98 = 9,699.64 : x
  2. Step 2: Convert to fraction form
    17,657.56/24,367.98 = 9,699.64/x
  3. Step 3: Cross multiply
    17,657.56x = 24,367.98 × 9,699.64
  4. Step 4: Simplify right side
    17,657.56x = 236,360,633.53
  5. Step 5: Solve for x
    x = 236,360,633.53/17,657.56
  6. Step 6: Final answer
    x = 13,385.80

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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.