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Finding the Fourth Proportional to 19,642.93, 29,451.72 and 8,405.61

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Solution

The fourth proportional to 19,642.93, 29,451.72 and 8,405.61 is: 12,602.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642.93 : 29,451.72 = 8,405.61 : x
  2. Step 2: Convert to fraction form
    19,642.93/29,451.72 = 8,405.61/x
  3. Step 3: Cross multiply
    19,642.93x = 29,451.72 × 8,405.61
  4. Step 4: Simplify right side
    19,642.93x = 247,559,672.15
  5. Step 5: Solve for x
    x = 247,559,672.15/19,642.93
  6. Step 6: Final answer
    x = 12,602.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.