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Finding the Fourth Proportional to 13,670, 18,859.20 and 8,632.34

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Solution

The fourth proportional to 13,670, 18,859.20 and 8,632.34 is: 11,909.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670 : 18,859.20 = 8,632.34 : x
  2. Step 2: Convert to fraction form
    13,670/18,859.20 = 8,632.34/x
  3. Step 3: Cross multiply
    13,670x = 18,859.20 × 8,632.34
  4. Step 4: Simplify right side
    13,670x = 162,799,026.53
  5. Step 5: Solve for x
    x = 162,799,026.53/13,670
  6. Step 6: Final answer
    x = 11,909.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.