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Finding the Fourth Proportional to 22,809.66, 34,232.91 and 9,671.25

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Solution

The fourth proportional to 22,809.66, 34,232.91 and 9,671.25 is: 14,514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,809.66 : 34,232.91 = 9,671.25 : x
  2. Step 2: Convert to fraction form
    22,809.66/34,232.91 = 9,671.25/x
  3. Step 3: Cross multiply
    22,809.66x = 34,232.91 × 9,671.25
  4. Step 4: Simplify right side
    22,809.66x = 331,075,195.48
  5. Step 5: Solve for x
    x = 331,075,195.48/22,809.66
  6. Step 6: Final answer
    x = 14,514.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.