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Finding the Fourth Proportional to 13,083.77, 19,622.91 and 4,316.63

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Solution

The fourth proportional to 13,083.77, 19,622.91 and 4,316.63 is: 6,474.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.77 : 19,622.91 = 4,316.63 : x
  2. Step 2: Convert to fraction form
    13,083.77/19,622.91 = 4,316.63/x
  3. Step 3: Cross multiply
    13,083.77x = 19,622.91 × 4,316.63
  4. Step 4: Simplify right side
    13,083.77x = 84,704,841.99
  5. Step 5: Solve for x
    x = 84,704,841.99/13,083.77
  6. Step 6: Final answer
    x = 6,474.04

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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.