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Finding the Fourth Proportional to 34,126.21, 51,193.64 and 13,347.01

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Solution

The fourth proportional to 34,126.21, 51,193.64 and 13,347.01 is: 20,022.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,126.21 : 51,193.64 = 13,347.01 : x
  2. Step 2: Convert to fraction form
    34,126.21/51,193.64 = 13,347.01/x
  3. Step 3: Cross multiply
    34,126.21x = 51,193.64 × 13,347.01
  4. Step 4: Simplify right side
    34,126.21x = 683,282,025.02
  5. Step 5: Solve for x
    x = 683,282,025.02/34,126.21
  6. Step 6: Final answer
    x = 20,022.21

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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.