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Finding the Fourth Proportional to 23,305.34, 32,161.98 and 12,695.64

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Solution

The fourth proportional to 23,305.34, 32,161.98 and 12,695.64 is: 17,520.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,305.34 : 32,161.98 = 12,695.64 : x
  2. Step 2: Convert to fraction form
    23,305.34/32,161.98 = 12,695.64/x
  3. Step 3: Cross multiply
    23,305.34x = 32,161.98 × 12,695.64
  4. Step 4: Simplify right side
    23,305.34x = 408,316,919.77
  5. Step 5: Solve for x
    x = 408,316,919.77/23,305.34
  6. Step 6: Final answer
    x = 17,520.32

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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.