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Finding the Fourth Proportional to 27,185.04, 40,778.88 and 9,657.48

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Solution

The fourth proportional to 27,185.04, 40,778.88 and 9,657.48 is: 14,486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,185.04 : 40,778.88 = 9,657.48 : x
  2. Step 2: Convert to fraction form
    27,185.04/40,778.88 = 9,657.48/x
  3. Step 3: Cross multiply
    27,185.04x = 40,778.88 × 9,657.48
  4. Step 4: Simplify right side
    27,185.04x = 393,821,218.02
  5. Step 5: Solve for x
    x = 393,821,218.02/27,185.04
  6. Step 6: Final answer
    x = 14,486.69

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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.