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Finding the Fourth Proportional to 14,202.83, 19,597.62 and 8,536.23

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Solution

The fourth proportional to 14,202.83, 19,597.62 and 8,536.23 is: 11,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202.83 : 19,597.62 = 8,536.23 : x
  2. Step 2: Convert to fraction form
    14,202.83/19,597.62 = 8,536.23/x
  3. Step 3: Cross multiply
    14,202.83x = 19,597.62 × 8,536.23
  4. Step 4: Simplify right side
    14,202.83x = 167,289,823.78
  5. Step 5: Solve for x
    x = 167,289,823.78/14,202.83
  6. Step 6: Final answer
    x = 11,778.62

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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.