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Finding the Fourth Proportional to 13,293.50, 19,930.35 and 5,795.64

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Solution

The fourth proportional to 13,293.50, 19,930.35 and 5,795.64 is: 8,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,293.50 : 19,930.35 = 5,795.64 : x
  2. Step 2: Convert to fraction form
    13,293.50/19,930.35 = 5,795.64/x
  3. Step 3: Cross multiply
    13,293.50x = 19,930.35 × 5,795.64
  4. Step 4: Simplify right side
    13,293.50x = 115,509,133.67
  5. Step 5: Solve for x
    x = 115,509,133.67/13,293.50
  6. Step 6: Final answer
    x = 8,689.15

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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.