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Finding the Fourth Proportional to 20,663.16, 30,975.63 and 7,512

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Solution

The fourth proportional to 20,663.16, 30,975.63 and 7,512 is: 11,261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,663.16 : 30,975.63 = 7,512 : x
  2. Step 2: Convert to fraction form
    20,663.16/30,975.63 = 7,512/x
  3. Step 3: Cross multiply
    20,663.16x = 30,975.63 × 7,512
  4. Step 4: Simplify right side
    20,663.16x = 232,688,932.56
  5. Step 5: Solve for x
    x = 232,688,932.56/20,663.16
  6. Step 6: Final answer
    x = 11,261.05

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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.