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Finding the Fourth Proportional to 17,960.66, 24,784.74 and 9,894.05

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Solution

The fourth proportional to 17,960.66, 24,784.74 and 9,894.05 is: 13,653.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,960.66 : 24,784.74 = 9,894.05 : x
  2. Step 2: Convert to fraction form
    17,960.66/24,784.74 = 9,894.05/x
  3. Step 3: Cross multiply
    17,960.66x = 24,784.74 × 9,894.05
  4. Step 4: Simplify right side
    17,960.66x = 245,221,332.87
  5. Step 5: Solve for x
    x = 245,221,332.87/17,960.66
  6. Step 6: Final answer
    x = 13,653.25

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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.