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Finding the Fourth Proportional to 13,484.31, 20,235.57 and 4,719.30

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Solution

The fourth proportional to 13,484.31, 20,235.57 and 4,719.30 is: 7,082.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,484.31 : 20,235.57 = 4,719.30 : x
  2. Step 2: Convert to fraction form
    13,484.31/20,235.57 = 4,719.30/x
  3. Step 3: Cross multiply
    13,484.31x = 20,235.57 × 4,719.30
  4. Step 4: Simplify right side
    13,484.31x = 95,497,725.50
  5. Step 5: Solve for x
    x = 95,497,725.50/13,484.31
  6. Step 6: Final answer
    x = 7,082.14

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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.