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Finding the Fourth Proportional to 14,529.88, 21,783.30 and 5,767

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Solution

The fourth proportional to 14,529.88, 21,783.30 and 5,767 is: 8,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,529.88 : 21,783.30 = 5,767 : x
  2. Step 2: Convert to fraction form
    14,529.88/21,783.30 = 5,767/x
  3. Step 3: Cross multiply
    14,529.88x = 21,783.30 × 5,767
  4. Step 4: Simplify right side
    14,529.88x = 125,624,291.10
  5. Step 5: Solve for x
    x = 125,624,291.10/14,529.88
  6. Step 6: Final answer
    x = 8,645.93

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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.