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Finding the Fourth Proportional to 17,861, 24,639.68 and 12,558.74

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Solution

The fourth proportional to 17,861, 24,639.68 and 12,558.74 is: 17,325.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,861 : 24,639.68 = 12,558.74 : x
  2. Step 2: Convert to fraction form
    17,861/24,639.68 = 12,558.74/x
  3. Step 3: Cross multiply
    17,861x = 24,639.68 × 12,558.74
  4. Step 4: Simplify right side
    17,861x = 309,443,272.01
  5. Step 5: Solve for x
    x = 309,443,272.01/17,861
  6. Step 6: Final answer
    x = 17,325.08

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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.