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Finding the Fourth Proportional to 14,006.64, 21,003.80 and 4,146.68

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Solution

The fourth proportional to 14,006.64, 21,003.80 and 4,146.68 is: 6,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006.64 : 21,003.80 = 4,146.68 : x
  2. Step 2: Convert to fraction form
    14,006.64/21,003.80 = 4,146.68/x
  3. Step 3: Cross multiply
    14,006.64x = 21,003.80 × 4,146.68
  4. Step 4: Simplify right side
    14,006.64x = 87,096,037.38
  5. Step 5: Solve for x
    x = 87,096,037.38/14,006.64
  6. Step 6: Final answer
    x = 6,218.20

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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.