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Finding the Fourth Proportional to 14,057.77, 21,076.25 and 8,509.81

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Solution

The fourth proportional to 14,057.77, 21,076.25 and 8,509.81 is: 12,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,057.77 : 21,076.25 = 8,509.81 : x
  2. Step 2: Convert to fraction form
    14,057.77/21,076.25 = 8,509.81/x
  3. Step 3: Cross multiply
    14,057.77x = 21,076.25 × 8,509.81
  4. Step 4: Simplify right side
    14,057.77x = 179,354,748.25
  5. Step 5: Solve for x
    x = 179,354,748.25/14,057.77
  6. Step 6: Final answer
    x = 12,758.40

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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.