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Finding the Fourth Proportional to 13,129.98, 19,700.64 and 7,203.21

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Solution

The fourth proportional to 13,129.98, 19,700.64 and 7,203.21 is: 10,807.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.98 : 19,700.64 = 7,203.21 : x
  2. Step 2: Convert to fraction form
    13,129.98/19,700.64 = 7,203.21/x
  3. Step 3: Cross multiply
    13,129.98x = 19,700.64 × 7,203.21
  4. Step 4: Simplify right side
    13,129.98x = 141,907,847.05
  5. Step 5: Solve for x
    x = 141,907,847.05/13,129.98
  6. Step 6: Final answer
    x = 10,807.93

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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.