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Finding the Fourth Proportional to 14,263.85, 19,677.47 and 9,229.69

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Solution

The fourth proportional to 14,263.85, 19,677.47 and 9,229.69 is: 12,732.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,263.85 : 19,677.47 = 9,229.69 : x
  2. Step 2: Convert to fraction form
    14,263.85/19,677.47 = 9,229.69/x
  3. Step 3: Cross multiply
    14,263.85x = 19,677.47 × 9,229.69
  4. Step 4: Simplify right side
    14,263.85x = 181,616,849.70
  5. Step 5: Solve for x
    x = 181,616,849.70/14,263.85
  6. Step 6: Final answer
    x = 12,732.67

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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.