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Finding the Fourth Proportional to 15,770.72, 23,653.92 and 9,200

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Solution

The fourth proportional to 15,770.72, 23,653.92 and 9,200 is: 13,798.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770.72 : 23,653.92 = 9,200 : x
  2. Step 2: Convert to fraction form
    15,770.72/23,653.92 = 9,200/x
  3. Step 3: Cross multiply
    15,770.72x = 23,653.92 × 9,200
  4. Step 4: Simplify right side
    15,770.72x = 217,616,064.00
  5. Step 5: Solve for x
    x = 217,616,064.00/15,770.72
  6. Step 6: Final answer
    x = 13,798.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.