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Finding the Fourth Proportional to 14,101.66, 21,152.72 and 6,704.63

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Solution

The fourth proportional to 14,101.66, 21,152.72 and 6,704.63 is: 10,057.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.66 : 21,152.72 = 6,704.63 : x
  2. Step 2: Convert to fraction form
    14,101.66/21,152.72 = 6,704.63/x
  3. Step 3: Cross multiply
    14,101.66x = 21,152.72 × 6,704.63
  4. Step 4: Simplify right side
    14,101.66x = 141,821,021.81
  5. Step 5: Solve for x
    x = 141,821,021.81/14,101.66
  6. Step 6: Final answer
    x = 10,057.05

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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.