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Finding the Fourth Proportional to 23,451, 32,363.21 and 12,840.72

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Solution

The fourth proportional to 23,451, 32,363.21 and 12,840.72 is: 17,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,451 : 32,363.21 = 12,840.72 : x
  2. Step 2: Convert to fraction form
    23,451/32,363.21 = 12,840.72/x
  3. Step 3: Cross multiply
    23,451x = 32,363.21 × 12,840.72
  4. Step 4: Simplify right side
    23,451x = 415,566,853.71
  5. Step 5: Solve for x
    x = 415,566,853.71/23,451
  6. Step 6: Final answer
    x = 17,720.65

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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.