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Finding the Fourth Proportional to 22,651.83, 33,985.04 and 9,500.67

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Solution

The fourth proportional to 22,651.83, 33,985.04 and 9,500.67 is: 14,254.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,651.83 : 33,985.04 = 9,500.67 : x
  2. Step 2: Convert to fraction form
    22,651.83/33,985.04 = 9,500.67/x
  3. Step 3: Cross multiply
    22,651.83x = 33,985.04 × 9,500.67
  4. Step 4: Simplify right side
    22,651.83x = 322,880,602.47
  5. Step 5: Solve for x
    x = 322,880,602.47/22,651.83
  6. Step 6: Final answer
    x = 14,254.06

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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.