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Finding the Fourth Proportional to 23,305.77, 32,161.95 and 12,695.40

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Solution

The fourth proportional to 23,305.77, 32,161.95 and 12,695.40 is: 17,519.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,305.77 : 32,161.95 = 12,695.40 : x
  2. Step 2: Convert to fraction form
    23,305.77/32,161.95 = 12,695.40/x
  3. Step 3: Cross multiply
    23,305.77x = 32,161.95 × 12,695.40
  4. Step 4: Simplify right side
    23,305.77x = 408,308,820.03
  5. Step 5: Solve for x
    x = 408,308,820.03/23,305.77
  6. Step 6: Final answer
    x = 17,519.65

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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.