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Finding the Fourth Proportional to 13,018, 17,968.08 and 7,432.24

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Solution

The fourth proportional to 13,018, 17,968.08 and 7,432.24 is: 10,258.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,018 : 17,968.08 = 7,432.24 : x
  2. Step 2: Convert to fraction form
    13,018/17,968.08 = 7,432.24/x
  3. Step 3: Cross multiply
    13,018x = 17,968.08 × 7,432.24
  4. Step 4: Simplify right side
    13,018x = 133,543,082.90
  5. Step 5: Solve for x
    x = 133,543,082.90/13,018
  6. Step 6: Final answer
    x = 10,258.34

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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.