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Finding the Fourth Proportional to 19,852.10, 29,785.08 and 12,447.80

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Solution

The fourth proportional to 19,852.10, 29,785.08 and 12,447.80 is: 18,676.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852.10 : 29,785.08 = 12,447.80 : x
  2. Step 2: Convert to fraction form
    19,852.10/29,785.08 = 12,447.80/x
  3. Step 3: Cross multiply
    19,852.10x = 29,785.08 × 12,447.80
  4. Step 4: Simplify right side
    19,852.10x = 370,758,718.82
  5. Step 5: Solve for x
    x = 370,758,718.82/19,852.10
  6. Step 6: Final answer
    x = 18,676.05

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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.