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Finding the Fourth Proportional to 10,295.29, 15,310.49 and 9,967.24

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Solution

The fourth proportional to 10,295.29, 15,310.49 and 9,967.24 is: 14,822.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.29 : 15,310.49 = 9,967.24 : x
  2. Step 2: Convert to fraction form
    10,295.29/15,310.49 = 9,967.24/x
  3. Step 3: Cross multiply
    10,295.29x = 15,310.49 × 9,967.24
  4. Step 4: Simplify right side
    10,295.29x = 152,603,328.35
  5. Step 5: Solve for x
    x = 152,603,328.35/10,295.29
  6. Step 6: Final answer
    x = 14,822.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.