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Finding the Fourth Proportional to 23,549.64, 35,331.48 and 9,502.44

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Solution

The fourth proportional to 23,549.64, 35,331.48 and 9,502.44 is: 14,256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,549.64 : 35,331.48 = 9,502.44 : x
  2. Step 2: Convert to fraction form
    23,549.64/35,331.48 = 9,502.44/x
  3. Step 3: Cross multiply
    23,549.64x = 35,331.48 × 9,502.44
  4. Step 4: Simplify right side
    23,549.64x = 335,735,268.81
  5. Step 5: Solve for x
    x = 335,735,268.81/23,549.64
  6. Step 6: Final answer
    x = 14,256.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.