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Finding the Fourth Proportional to 15,830.42, 23,736.86 and 6,477

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Solution

The fourth proportional to 15,830.42, 23,736.86 and 6,477 is: 9,711.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,830.42 : 23,736.86 = 6,477 : x
  2. Step 2: Convert to fraction form
    15,830.42/23,736.86 = 6,477/x
  3. Step 3: Cross multiply
    15,830.42x = 23,736.86 × 6,477
  4. Step 4: Simplify right side
    15,830.42x = 153,743,609.84
  5. Step 5: Solve for x
    x = 153,743,609.84/15,830.42
  6. Step 6: Final answer
    x = 9,711.91

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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.