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Finding the Fourth Proportional to 14,809.26, 22,189.26 and 10,417.50

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Solution

The fourth proportional to 14,809.26, 22,189.26 and 10,417.50 is: 15,608.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,809.26 : 22,189.26 = 10,417.50 : x
  2. Step 2: Convert to fraction form
    14,809.26/22,189.26 = 10,417.50/x
  3. Step 3: Cross multiply
    14,809.26x = 22,189.26 × 10,417.50
  4. Step 4: Simplify right side
    14,809.26x = 231,156,616.05
  5. Step 5: Solve for x
    x = 231,156,616.05/14,809.26
  6. Step 6: Final answer
    x = 15,608.92

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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.