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Finding the Fourth Proportional to 13,158.90, 19,735.89 and 5,761.98

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Solution

The fourth proportional to 13,158.90, 19,735.89 and 5,761.98 is: 8,641.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,158.90 : 19,735.89 = 5,761.98 : x
  2. Step 2: Convert to fraction form
    13,158.90/19,735.89 = 5,761.98/x
  3. Step 3: Cross multiply
    13,158.90x = 19,735.89 × 5,761.98
  4. Step 4: Simplify right side
    13,158.90x = 113,717,803.46
  5. Step 5: Solve for x
    x = 113,717,803.46/13,158.90
  6. Step 6: Final answer
    x = 8,641.89

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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.