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Finding the Fourth Proportional to 19,354.42, 29,024.67 and 6,700.75

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Solution

The fourth proportional to 19,354.42, 29,024.67 and 6,700.75 is: 10,048.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,354.42 : 29,024.67 = 6,700.75 : x
  2. Step 2: Convert to fraction form
    19,354.42/29,024.67 = 6,700.75/x
  3. Step 3: Cross multiply
    19,354.42x = 29,024.67 × 6,700.75
  4. Step 4: Simplify right side
    19,354.42x = 194,487,010.07
  5. Step 5: Solve for x
    x = 194,487,010.07/19,354.42
  6. Step 6: Final answer
    x = 10,048.71

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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.