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Finding the Fourth Proportional to 11,420.75, 17,038.99 and 10,174.16

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Solution

The fourth proportional to 11,420.75, 17,038.99 and 10,174.16 is: 15,179.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.75 : 17,038.99 = 10,174.16 : x
  2. Step 2: Convert to fraction form
    11,420.75/17,038.99 = 10,174.16/x
  3. Step 3: Cross multiply
    11,420.75x = 17,038.99 × 10,174.16
  4. Step 4: Simplify right side
    11,420.75x = 173,357,410.50
  5. Step 5: Solve for x
    x = 173,357,410.50/11,420.75
  6. Step 6: Final answer
    x = 15,179.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.