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Finding the Fourth Proportional to 22,530.75, 31,096.88 and 13,101.13

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Solution

The fourth proportional to 22,530.75, 31,096.88 and 13,101.13 is: 18,082.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,530.75 : 31,096.88 = 13,101.13 : x
  2. Step 2: Convert to fraction form
    22,530.75/31,096.88 = 13,101.13/x
  3. Step 3: Cross multiply
    22,530.75x = 31,096.88 × 13,101.13
  4. Step 4: Simplify right side
    22,530.75x = 407,404,267.47
  5. Step 5: Solve for x
    x = 407,404,267.47/22,530.75
  6. Step 6: Final answer
    x = 18,082.14

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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.