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Finding the Fourth Proportional to 13,232.86, 19,835.44 and 9,717.64

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Solution

The fourth proportional to 13,232.86, 19,835.44 and 9,717.64 is: 14,566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232.86 : 19,835.44 = 9,717.64 : x
  2. Step 2: Convert to fraction form
    13,232.86/19,835.44 = 9,717.64/x
  3. Step 3: Cross multiply
    13,232.86x = 19,835.44 × 9,717.64
  4. Step 4: Simplify right side
    13,232.86x = 192,753,591.28
  5. Step 5: Solve for x
    x = 192,753,591.28/13,232.86
  6. Step 6: Final answer
    x = 14,566.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.