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Finding the Fourth Proportional to 25,070.97, 37,608.32 and 8,430.94

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Solution

The fourth proportional to 25,070.97, 37,608.32 and 8,430.94 is: 12,647.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,070.97 : 37,608.32 = 8,430.94 : x
  2. Step 2: Convert to fraction form
    25,070.97/37,608.32 = 8,430.94/x
  3. Step 3: Cross multiply
    25,070.97x = 37,608.32 × 8,430.94
  4. Step 4: Simplify right side
    25,070.97x = 317,073,489.42
  5. Step 5: Solve for x
    x = 317,073,489.42/25,070.97
  6. Step 6: Final answer
    x = 12,647.04

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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.