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Finding the Fourth Proportional to 14,599.80, 21,872.16 and 11,643.84

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Solution

The fourth proportional to 14,599.80, 21,872.16 and 11,643.84 is: 17,443.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,599.80 : 21,872.16 = 11,643.84 : x
  2. Step 2: Convert to fraction form
    14,599.80/21,872.16 = 11,643.84/x
  3. Step 3: Cross multiply
    14,599.80x = 21,872.16 × 11,643.84
  4. Step 4: Simplify right side
    14,599.80x = 254,675,931.49
  5. Step 5: Solve for x
    x = 254,675,931.49/14,599.80
  6. Step 6: Final answer
    x = 17,443.80

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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.