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Finding the Fourth Proportional to 17,236.16, 23,785.60 and 9,784

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Solution

The fourth proportional to 17,236.16, 23,785.60 and 9,784 is: 13,501.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,236.16 : 23,785.60 = 9,784 : x
  2. Step 2: Convert to fraction form
    17,236.16/23,785.60 = 9,784/x
  3. Step 3: Cross multiply
    17,236.16x = 23,785.60 × 9,784
  4. Step 4: Simplify right side
    17,236.16x = 232,718,310.40
  5. Step 5: Solve for x
    x = 232,718,310.40/17,236.16
  6. Step 6: Final answer
    x = 13,501.75

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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.