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Finding the Fourth Proportional to 34,198.96, 51,303.84 and 13,138.16

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Solution

The fourth proportional to 34,198.96, 51,303.84 and 13,138.16 is: 19,709.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,198.96 : 51,303.84 = 13,138.16 : x
  2. Step 2: Convert to fraction form
    34,198.96/51,303.84 = 13,138.16/x
  3. Step 3: Cross multiply
    34,198.96x = 51,303.84 × 13,138.16
  4. Step 4: Simplify right side
    34,198.96x = 674,038,058.53
  5. Step 5: Solve for x
    x = 674,038,058.53/34,198.96
  6. Step 6: Final answer
    x = 19,709.31

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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.