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Finding the Fourth Proportional to 14,038.58, 21,057.82 and 5,716.74

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Solution

The fourth proportional to 14,038.58, 21,057.82 and 5,716.74 is: 8,575.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,038.58 : 21,057.82 = 5,716.74 : x
  2. Step 2: Convert to fraction form
    14,038.58/21,057.82 = 5,716.74/x
  3. Step 3: Cross multiply
    14,038.58x = 21,057.82 × 5,716.74
  4. Step 4: Simplify right side
    14,038.58x = 120,382,053.32
  5. Step 5: Solve for x
    x = 120,382,053.32/14,038.58
  6. Step 6: Final answer
    x = 8,575.09

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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.