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Finding the Fourth Proportional to 14,097.84, 21,157.00 and 11,357.61

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Solution

The fourth proportional to 14,097.84, 21,157.00 and 11,357.61 is: 17,044.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.84 : 21,157.00 = 11,357.61 : x
  2. Step 2: Convert to fraction form
    14,097.84/21,157.00 = 11,357.61/x
  3. Step 3: Cross multiply
    14,097.84x = 21,157.00 × 11,357.61
  4. Step 4: Simplify right side
    14,097.84x = 240,292,847.04
  5. Step 5: Solve for x
    x = 240,292,847.04/14,097.84
  6. Step 6: Final answer
    x = 17,044.66

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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.