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Finding the Fourth Proportional to 23,863.64, 32,931.84 and 13,253.30

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Solution

The fourth proportional to 23,863.64, 32,931.84 and 13,253.30 is: 18,289.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,863.64 : 32,931.84 = 13,253.30 : x
  2. Step 2: Convert to fraction form
    23,863.64/32,931.84 = 13,253.30/x
  3. Step 3: Cross multiply
    23,863.64x = 32,931.84 × 13,253.30
  4. Step 4: Simplify right side
    23,863.64x = 436,455,555.07
  5. Step 5: Solve for x
    x = 436,455,555.07/23,863.64
  6. Step 6: Final answer
    x = 18,289.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.