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Finding the Fourth Proportional to 19,852.12, 29,771.86 and 6,522.02

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Solution

The fourth proportional to 19,852.12, 29,771.86 and 6,522.02 is: 9,780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852.12 : 29,771.86 = 6,522.02 : x
  2. Step 2: Convert to fraction form
    19,852.12/29,771.86 = 6,522.02/x
  3. Step 3: Cross multiply
    19,852.12x = 29,771.86 × 6,522.02
  4. Step 4: Simplify right side
    19,852.12x = 194,172,742.82
  5. Step 5: Solve for x
    x = 194,172,742.82/19,852.12
  6. Step 6: Final answer
    x = 9,780.96

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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.