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Finding the Fourth Proportional to 17,148.64, 23,665.44 and 9,696.64

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Solution

The fourth proportional to 17,148.64, 23,665.44 and 9,696.64 is: 13,381.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,148.64 : 23,665.44 = 9,696.64 : x
  2. Step 2: Convert to fraction form
    17,148.64/23,665.44 = 9,696.64/x
  3. Step 3: Cross multiply
    17,148.64x = 23,665.44 × 9,696.64
  4. Step 4: Simplify right side
    17,148.64x = 229,475,252.12
  5. Step 5: Solve for x
    x = 229,475,252.12/17,148.64
  6. Step 6: Final answer
    x = 13,381.54

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1.5x scale

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.