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Finding the Fourth Proportional to 17,569.40, 24,234.64 and 12,262.28

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Solution

The fourth proportional to 17,569.40, 24,234.64 and 12,262.28 is: 16,914.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,569.40 : 24,234.64 = 12,262.28 : x
  2. Step 2: Convert to fraction form
    17,569.40/24,234.64 = 12,262.28/x
  3. Step 3: Cross multiply
    17,569.40x = 24,234.64 × 12,262.28
  4. Step 4: Simplify right side
    17,569.40x = 297,171,941.38
  5. Step 5: Solve for x
    x = 297,171,941.38/17,569.40
  6. Step 6: Final answer
    x = 16,914.18

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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.