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Finding the Fourth Proportional to 13,172.23, 19,773.78 and 10,400.77

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Solution

The fourth proportional to 13,172.23, 19,773.78 and 10,400.77 is: 15,613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,172.23 : 19,773.78 = 10,400.77 : x
  2. Step 2: Convert to fraction form
    13,172.23/19,773.78 = 10,400.77/x
  3. Step 3: Cross multiply
    13,172.23x = 19,773.78 × 10,400.77
  4. Step 4: Simplify right side
    13,172.23x = 205,662,537.81
  5. Step 5: Solve for x
    x = 205,662,537.81/13,172.23
  6. Step 6: Final answer
    x = 15,613.34

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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.