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Finding the Fourth Proportional to 14,058.40, 19,400.24 and 7,770.40

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Solution

The fourth proportional to 14,058.40, 19,400.24 and 7,770.40 is: 10,722.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,058.40 : 19,400.24 = 7,770.40 : x
  2. Step 2: Convert to fraction form
    14,058.40/19,400.24 = 7,770.40/x
  3. Step 3: Cross multiply
    14,058.40x = 19,400.24 × 7,770.40
  4. Step 4: Simplify right side
    14,058.40x = 150,747,624.90
  5. Step 5: Solve for x
    x = 150,747,624.90/14,058.40
  6. Step 6: Final answer
    x = 10,722.96

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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.