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Finding the Fourth Proportional to 17,470.86, 24,098.76 and 10,392

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Solution

The fourth proportional to 17,470.86, 24,098.76 and 10,392 is: 14,334.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,470.86 : 24,098.76 = 10,392 : x
  2. Step 2: Convert to fraction form
    17,470.86/24,098.76 = 10,392/x
  3. Step 3: Cross multiply
    17,470.86x = 24,098.76 × 10,392
  4. Step 4: Simplify right side
    17,470.86x = 250,434,313.92
  5. Step 5: Solve for x
    x = 250,434,313.92/17,470.86
  6. Step 6: Final answer
    x = 14,334.40

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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.