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Finding the Fourth Proportional to 15,435.42, 23,156.78 and 5,438.67

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Solution

The fourth proportional to 15,435.42, 23,156.78 and 5,438.67 is: 8,159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,435.42 : 23,156.78 = 5,438.67 : x
  2. Step 2: Convert to fraction form
    15,435.42/23,156.78 = 5,438.67/x
  3. Step 3: Cross multiply
    15,435.42x = 23,156.78 × 5,438.67
  4. Step 4: Simplify right side
    15,435.42x = 125,942,084.68
  5. Step 5: Solve for x
    x = 125,942,084.68/15,435.42
  6. Step 6: Final answer
    x = 8,159.29

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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.