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Finding the Fourth Proportional to 14,234.88, 19,643.93 and 8,269.90

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Solution

The fourth proportional to 14,234.88, 19,643.93 and 8,269.90 is: 11,412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.88 : 19,643.93 = 8,269.90 : x
  2. Step 2: Convert to fraction form
    14,234.88/19,643.93 = 8,269.90/x
  3. Step 3: Cross multiply
    14,234.88x = 19,643.93 × 8,269.90
  4. Step 4: Simplify right side
    14,234.88x = 162,453,336.71
  5. Step 5: Solve for x
    x = 162,453,336.71/14,234.88
  6. Step 6: Final answer
    x = 11,412.34

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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.