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Finding the Fourth Proportional to 13,201.89, 19,807.25 and 4,317.63

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Solution

The fourth proportional to 13,201.89, 19,807.25 and 4,317.63 is: 6,477.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.89 : 19,807.25 = 4,317.63 : x
  2. Step 2: Convert to fraction form
    13,201.89/19,807.25 = 4,317.63/x
  3. Step 3: Cross multiply
    13,201.89x = 19,807.25 × 4,317.63
  4. Step 4: Simplify right side
    13,201.89x = 85,520,387.61
  5. Step 5: Solve for x
    x = 85,520,387.61/13,201.89
  6. Step 6: Final answer
    x = 6,477.89

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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.