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Finding the Fourth Proportional to 13,570.70, 18,730.30 and 9,275.26

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Solution

The fourth proportional to 13,570.70, 18,730.30 and 9,275.26 is: 12,801.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570.70 : 18,730.30 = 9,275.26 : x
  2. Step 2: Convert to fraction form
    13,570.70/18,730.30 = 9,275.26/x
  3. Step 3: Cross multiply
    13,570.70x = 18,730.30 × 9,275.26
  4. Step 4: Simplify right side
    13,570.70x = 173,728,402.38
  5. Step 5: Solve for x
    x = 173,728,402.38/13,570.70
  6. Step 6: Final answer
    x = 12,801.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.