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Finding the Fourth Proportional to 27,565.94, 41,316.10 and 19,200.66

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Solution

The fourth proportional to 27,565.94, 41,316.10 and 19,200.66 is: 28,778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,565.94 : 41,316.10 = 19,200.66 : x
  2. Step 2: Convert to fraction form
    27,565.94/41,316.10 = 19,200.66/x
  3. Step 3: Cross multiply
    27,565.94x = 41,316.10 × 19,200.66
  4. Step 4: Simplify right side
    27,565.94x = 793,296,388.63
  5. Step 5: Solve for x
    x = 793,296,388.63/27,565.94
  6. Step 6: Final answer
    x = 28,778.14

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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.