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Finding the Fourth Proportional to 14,240.64, 19,649.09 and 8,269.23

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Solution

The fourth proportional to 14,240.64, 19,649.09 and 8,269.23 is: 11,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,240.64 : 19,649.09 = 8,269.23 : x
  2. Step 2: Convert to fraction form
    14,240.64/19,649.09 = 8,269.23/x
  3. Step 3: Cross multiply
    14,240.64x = 19,649.09 × 8,269.23
  4. Step 4: Simplify right side
    14,240.64x = 162,482,803.15
  5. Step 5: Solve for x
    x = 162,482,803.15/14,240.64
  6. Step 6: Final answer
    x = 11,409.80

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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.