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Finding the Fourth Proportional to 25,077.96, 37,620.21 and 8,430.84

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Solution

The fourth proportional to 25,077.96, 37,620.21 and 8,430.84 is: 12,647.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,077.96 : 37,620.21 = 8,430.84 : x
  2. Step 2: Convert to fraction form
    25,077.96/37,620.21 = 8,430.84/x
  3. Step 3: Cross multiply
    25,077.96x = 37,620.21 × 8,430.84
  4. Step 4: Simplify right side
    25,077.96x = 317,169,971.28
  5. Step 5: Solve for x
    x = 317,169,971.28/25,077.96
  6. Step 6: Final answer
    x = 12,647.36

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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.