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Finding the Fourth Proportional to 13,057.30, 19,581.29 and 4,735.16

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Solution

The fourth proportional to 13,057.30, 19,581.29 and 4,735.16 is: 7,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.30 : 19,581.29 = 4,735.16 : x
  2. Step 2: Convert to fraction form
    13,057.30/19,581.29 = 4,735.16/x
  3. Step 3: Cross multiply
    13,057.30x = 19,581.29 × 4,735.16
  4. Step 4: Simplify right side
    13,057.30x = 92,720,541.16
  5. Step 5: Solve for x
    x = 92,720,541.16/13,057.30
  6. Step 6: Final answer
    x = 7,101.05

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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.