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Finding the Fourth Proportional to 17,826, 24,606.36 and 10,374

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Solution

The fourth proportional to 17,826, 24,606.36 and 10,374 is: 14,319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,826 : 24,606.36 = 10,374 : x
  2. Step 2: Convert to fraction form
    17,826/24,606.36 = 10,374/x
  3. Step 3: Cross multiply
    17,826x = 24,606.36 × 10,374
  4. Step 4: Simplify right side
    17,826x = 255,266,378.64
  5. Step 5: Solve for x
    x = 255,266,378.64/17,826
  6. Step 6: Final answer
    x = 14,319.89

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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.