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Finding the Fourth Proportional to 13,057.74, 19,587.54 and 6,477.30

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Solution

The fourth proportional to 13,057.74, 19,587.54 and 6,477.30 is: 9,716.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.74 : 19,587.54 = 6,477.30 : x
  2. Step 2: Convert to fraction form
    13,057.74/19,587.54 = 6,477.30/x
  3. Step 3: Cross multiply
    13,057.74x = 19,587.54 × 6,477.30
  4. Step 4: Simplify right side
    13,057.74x = 126,874,372.84
  5. Step 5: Solve for x
    x = 126,874,372.84/13,057.74
  6. Step 6: Final answer
    x = 9,716.41

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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.