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Finding the Fourth Proportional to 13,587.93, 20,390.57 and 6,193.14

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Solution

The fourth proportional to 13,587.93, 20,390.57 and 6,193.14 is: 9,293.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,587.93 : 20,390.57 = 6,193.14 : x
  2. Step 2: Convert to fraction form
    13,587.93/20,390.57 = 6,193.14/x
  3. Step 3: Cross multiply
    13,587.93x = 20,390.57 × 6,193.14
  4. Step 4: Simplify right side
    13,587.93x = 126,281,623.72
  5. Step 5: Solve for x
    x = 126,281,623.72/13,587.93
  6. Step 6: Final answer
    x = 9,293.66

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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.