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Finding the Fourth Proportional to 12,210.68, 18,332.98 and 6,291.81

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Solution

The fourth proportional to 12,210.68, 18,332.98 and 6,291.81 is: 9,446.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,210.68 : 18,332.98 = 6,291.81 : x
  2. Step 2: Convert to fraction form
    12,210.68/18,332.98 = 6,291.81/x
  3. Step 3: Cross multiply
    12,210.68x = 18,332.98 × 6,291.81
  4. Step 4: Simplify right side
    12,210.68x = 115,347,611.16
  5. Step 5: Solve for x
    x = 115,347,611.16/12,210.68
  6. Step 6: Final answer
    x = 9,446.45

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