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Finding the Fourth Proportional to 14,089.84, 21,128.82 and 5,764.12

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Solution

The fourth proportional to 14,089.84, 21,128.82 and 5,764.12 is: 8,643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,089.84 : 21,128.82 = 5,764.12 : x
  2. Step 2: Convert to fraction form
    14,089.84/21,128.82 = 5,764.12/x
  3. Step 3: Cross multiply
    14,089.84x = 21,128.82 × 5,764.12
  4. Step 4: Simplify right side
    14,089.84x = 121,789,053.94
  5. Step 5: Solve for x
    x = 121,789,053.94/14,089.84
  6. Step 6: Final answer
    x = 8,643.75

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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.