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Finding the Fourth Proportional to 15,706.85, 23,551.16 and 6,339.20

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Solution

The fourth proportional to 15,706.85, 23,551.16 and 6,339.20 is: 9,505.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.85 : 23,551.16 = 6,339.20 : x
  2. Step 2: Convert to fraction form
    15,706.85/23,551.16 = 6,339.20/x
  3. Step 3: Cross multiply
    15,706.85x = 23,551.16 × 6,339.20
  4. Step 4: Simplify right side
    15,706.85x = 149,295,588.20
  5. Step 5: Solve for x
    x = 149,295,588.20/15,706.85
  6. Step 6: Final answer
    x = 9,505.12

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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.