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Finding the Fourth Proportional to 27,101.70, 40,625.55 and 13,057.74

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Solution

The fourth proportional to 27,101.70, 40,625.55 and 13,057.74 is: 19,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,101.70 : 40,625.55 = 13,057.74 : x
  2. Step 2: Convert to fraction form
    27,101.70/40,625.55 = 13,057.74/x
  3. Step 3: Cross multiply
    27,101.70x = 40,625.55 × 13,057.74
  4. Step 4: Simplify right side
    27,101.70x = 530,477,869.26
  5. Step 5: Solve for x
    x = 530,477,869.26/27,101.70
  6. Step 6: Final answer
    x = 19,573.60

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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.