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Finding the Fourth Proportional to 23,698.64, 32,704.02 and 13,088.22

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Solution

The fourth proportional to 23,698.64, 32,704.02 and 13,088.22 is: 18,061.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,698.64 : 32,704.02 = 13,088.22 : x
  2. Step 2: Convert to fraction form
    23,698.64/32,704.02 = 13,088.22/x
  3. Step 3: Cross multiply
    23,698.64x = 32,704.02 × 13,088.22
  4. Step 4: Simplify right side
    23,698.64x = 428,037,408.64
  5. Step 5: Solve for x
    x = 428,037,408.64/23,698.64
  6. Step 6: Final answer
    x = 18,061.69

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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.