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Finding the Fourth Proportional to 14,022.75, 21,017.98 and 5,693.63

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Solution

The fourth proportional to 14,022.75, 21,017.98 and 5,693.63 is: 8,533.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022.75 : 21,017.98 = 5,693.63 : x
  2. Step 2: Convert to fraction form
    14,022.75/21,017.98 = 5,693.63/x
  3. Step 3: Cross multiply
    14,022.75x = 21,017.98 × 5,693.63
  4. Step 4: Simplify right side
    14,022.75x = 119,668,503.49
  5. Step 5: Solve for x
    x = 119,668,503.49/14,022.75
  6. Step 6: Final answer
    x = 8,533.88

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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.