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Finding the Fourth Proportional to 19,854.42, 29,775.30 and 6,524.34

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Solution

The fourth proportional to 19,854.42, 29,775.30 and 6,524.34 is: 9,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854.42 : 29,775.30 = 6,524.34 : x
  2. Step 2: Convert to fraction form
    19,854.42/29,775.30 = 6,524.34/x
  3. Step 3: Cross multiply
    19,854.42x = 29,775.30 × 6,524.34
  4. Step 4: Simplify right side
    19,854.42x = 194,264,180.80
  5. Step 5: Solve for x
    x = 194,264,180.80/19,854.42
  6. Step 6: Final answer
    x = 9,784.43

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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.