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Finding the Fourth Proportional to 15,415.90, 23,122.66 and 4,322

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Solution

The fourth proportional to 15,415.90, 23,122.66 and 4,322 is: 6,482.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,415.90 : 23,122.66 = 4,322 : x
  2. Step 2: Convert to fraction form
    15,415.90/23,122.66 = 4,322/x
  3. Step 3: Cross multiply
    15,415.90x = 23,122.66 × 4,322
  4. Step 4: Simplify right side
    15,415.90x = 99,936,136.52
  5. Step 5: Solve for x
    x = 99,936,136.52/15,415.90
  6. Step 6: Final answer
    x = 6,482.67

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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.