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Finding the Fourth Proportional to 12,232.74, 18,430.70 and 11,064.08

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Solution

The fourth proportional to 12,232.74, 18,430.70 and 11,064.08 is: 16,669.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.74 : 18,430.70 = 11,064.08 : x
  2. Step 2: Convert to fraction form
    12,232.74/18,430.70 = 11,064.08/x
  3. Step 3: Cross multiply
    12,232.74x = 18,430.70 × 11,064.08
  4. Step 4: Simplify right side
    12,232.74x = 203,918,739.26
  5. Step 5: Solve for x
    x = 203,918,739.26/12,232.74
  6. Step 6: Final answer
    x = 16,669.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.