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Finding the Fourth Proportional to 14,200.74, 19,596.74 and 8,232.26

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Solution

The fourth proportional to 14,200.74, 19,596.74 and 8,232.26 is: 11,360.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.74 : 19,596.74 = 8,232.26 : x
  2. Step 2: Convert to fraction form
    14,200.74/19,596.74 = 8,232.26/x
  3. Step 3: Cross multiply
    14,200.74x = 19,596.74 × 8,232.26
  4. Step 4: Simplify right side
    14,200.74x = 161,325,319.69
  5. Step 5: Solve for x
    x = 161,325,319.69/14,200.74
  6. Step 6: Final answer
    x = 11,360.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.