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Finding the Fourth Proportional to 17,256.64, 23,814.16 and 9,804.64

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Solution

The fourth proportional to 17,256.64, 23,814.16 and 9,804.64 is: 13,530.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,256.64 : 23,814.16 = 9,804.64 : x
  2. Step 2: Convert to fraction form
    17,256.64/23,814.16 = 9,804.64/x
  3. Step 3: Cross multiply
    17,256.64x = 23,814.16 × 9,804.64
  4. Step 4: Simplify right side
    17,256.64x = 233,489,265.70
  5. Step 5: Solve for x
    x = 233,489,265.70/17,256.64
  6. Step 6: Final answer
    x = 13,530.40

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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.