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Finding the Fourth Proportional to 13,083.93, 19,627.52 and 4,316.49

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Solution

The fourth proportional to 13,083.93, 19,627.52 and 4,316.49 is: 6,475.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.93 : 19,627.52 = 4,316.49 : x
  2. Step 2: Convert to fraction form
    13,083.93/19,627.52 = 4,316.49/x
  3. Step 3: Cross multiply
    13,083.93x = 19,627.52 × 4,316.49
  4. Step 4: Simplify right side
    13,083.93x = 84,721,972.22
  5. Step 5: Solve for x
    x = 84,721,972.22/13,083.93
  6. Step 6: Final answer
    x = 6,475.27

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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.