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Finding the Fourth Proportional to 17,110.64, 23,612.48 and 9,658.64

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Solution

The fourth proportional to 17,110.64, 23,612.48 and 9,658.64 is: 13,328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,110.64 : 23,612.48 = 9,658.64 : x
  2. Step 2: Convert to fraction form
    17,110.64/23,612.48 = 9,658.64/x
  3. Step 3: Cross multiply
    17,110.64x = 23,612.48 × 9,658.64
  4. Step 4: Simplify right side
    17,110.64x = 228,064,443.83
  5. Step 5: Solve for x
    x = 228,064,443.83/17,110.64
  6. Step 6: Final answer
    x = 13,328.81

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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.