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Finding the Fourth Proportional to 34,776.16, 52,173.96 and 11,419

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Solution

The fourth proportional to 34,776.16, 52,173.96 and 11,419 is: 17,131.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,776.16 : 52,173.96 = 11,419 : x
  2. Step 2: Convert to fraction form
    34,776.16/52,173.96 = 11,419/x
  3. Step 3: Cross multiply
    34,776.16x = 52,173.96 × 11,419
  4. Step 4: Simplify right side
    34,776.16x = 595,774,449.24
  5. Step 5: Solve for x
    x = 595,774,449.24/34,776.16
  6. Step 6: Final answer
    x = 17,131.69

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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.