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Finding the Fourth Proportional to 13,349.98, 18,424.34 and 7,684.93

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Solution

The fourth proportional to 13,349.98, 18,424.34 and 7,684.93 is: 10,605.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,349.98 : 18,424.34 = 7,684.93 : x
  2. Step 2: Convert to fraction form
    13,349.98/18,424.34 = 7,684.93/x
  3. Step 3: Cross multiply
    13,349.98x = 18,424.34 × 7,684.93
  4. Step 4: Simplify right side
    13,349.98x = 141,589,763.20
  5. Step 5: Solve for x
    x = 141,589,763.20/13,349.98
  6. Step 6: Final answer
    x = 10,605.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.