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Finding the Fourth Proportional to 15,771.77, 23,657.74 and 4,678.55

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Solution

The fourth proportional to 15,771.77, 23,657.74 and 4,678.55 is: 7,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771.77 : 23,657.74 = 4,678.55 : x
  2. Step 2: Convert to fraction form
    15,771.77/23,657.74 = 4,678.55/x
  3. Step 3: Cross multiply
    15,771.77x = 23,657.74 × 4,678.55
  4. Step 4: Simplify right side
    15,771.77x = 110,683,919.48
  5. Step 5: Solve for x
    x = 110,683,919.48/15,771.77
  6. Step 6: Final answer
    x = 7,017.85

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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.