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Finding the Fourth Proportional to 13,442.34, 18,550.50 and 7,776.98

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Solution

The fourth proportional to 13,442.34, 18,550.50 and 7,776.98 is: 10,732.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.34 : 18,550.50 = 7,776.98 : x
  2. Step 2: Convert to fraction form
    13,442.34/18,550.50 = 7,776.98/x
  3. Step 3: Cross multiply
    13,442.34x = 18,550.50 × 7,776.98
  4. Step 4: Simplify right side
    13,442.34x = 144,266,867.49
  5. Step 5: Solve for x
    x = 144,266,867.49/13,442.34
  6. Step 6: Final answer
    x = 10,732.27

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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.