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Finding the Fourth Proportional to 15,406, 23,106.67 and 4,311.25

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Solution

The fourth proportional to 15,406, 23,106.67 and 4,311.25 is: 6,466.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,406 : 23,106.67 = 4,311.25 : x
  2. Step 2: Convert to fraction form
    15,406/23,106.67 = 4,311.25/x
  3. Step 3: Cross multiply
    15,406x = 23,106.67 × 4,311.25
  4. Step 4: Simplify right side
    15,406x = 99,618,631.04
  5. Step 5: Solve for x
    x = 99,618,631.04/15,406
  6. Step 6: Final answer
    x = 6,466.22

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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.