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Finding the Fourth Proportional to 22,302.75, 30,777.80 and 12,366.75

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Solution

The fourth proportional to 22,302.75, 30,777.80 and 12,366.75 is: 17,066.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,302.75 : 30,777.80 = 12,366.75 : x
  2. Step 2: Convert to fraction form
    22,302.75/30,777.80 = 12,366.75/x
  3. Step 3: Cross multiply
    22,302.75x = 30,777.80 × 12,366.75
  4. Step 4: Simplify right side
    22,302.75x = 380,621,296.32
  5. Step 5: Solve for x
    x = 380,621,296.32/22,302.75
  6. Step 6: Final answer
    x = 17,066.12

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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.