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Finding the Fourth Proportional to 13,102.74, 18,082.24 and 7,437.50

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Solution

The fourth proportional to 13,102.74, 18,082.24 and 7,437.50 is: 10,264.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.74 : 18,082.24 = 7,437.50 : x
  2. Step 2: Convert to fraction form
    13,102.74/18,082.24 = 7,437.50/x
  3. Step 3: Cross multiply
    13,102.74x = 18,082.24 × 7,437.50
  4. Step 4: Simplify right side
    13,102.74x = 134,486,660
  5. Step 5: Solve for x
    x = 134,486,660/13,102.74
  6. Step 6: Final answer
    x = 10,264.01

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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.