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Finding the Fourth Proportional to 13,290.50, 19,923.99 and 4,964.90

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Solution

The fourth proportional to 13,290.50, 19,923.99 and 4,964.90 is: 7,442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,290.50 : 19,923.99 = 4,964.90 : x
  2. Step 2: Convert to fraction form
    13,290.50/19,923.99 = 4,964.90/x
  3. Step 3: Cross multiply
    13,290.50x = 19,923.99 × 4,964.90
  4. Step 4: Simplify right side
    13,290.50x = 98,920,617.95
  5. Step 5: Solve for x
    x = 98,920,617.95/13,290.50
  6. Step 6: Final answer
    x = 7,442.96

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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.