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Finding the Fourth Proportional to 13,237.48, 19,842.89 and 5,840.63

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Solution

The fourth proportional to 13,237.48, 19,842.89 and 5,840.63 is: 8,755.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,237.48 : 19,842.89 = 5,840.63 : x
  2. Step 2: Convert to fraction form
    13,237.48/19,842.89 = 5,840.63/x
  3. Step 3: Cross multiply
    13,237.48x = 19,842.89 × 5,840.63
  4. Step 4: Simplify right side
    13,237.48x = 115,894,978.62
  5. Step 5: Solve for x
    x = 115,894,978.62/13,237.48
  6. Step 6: Final answer
    x = 8,755.06

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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.