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Finding the Fourth Proportional to 12,632.70, 17,433.11 and 6,967.81

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Solution

The fourth proportional to 12,632.70, 17,433.11 and 6,967.81 is: 9,615.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632.70 : 17,433.11 = 6,967.81 : x
  2. Step 2: Convert to fraction form
    12,632.70/17,433.11 = 6,967.81/x
  3. Step 3: Cross multiply
    12,632.70x = 17,433.11 × 6,967.81
  4. Step 4: Simplify right side
    12,632.70x = 121,470,598.19
  5. Step 5: Solve for x
    x = 121,470,598.19/12,632.70
  6. Step 6: Final answer
    x = 9,615.57

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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.