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Finding the Fourth Proportional to 25,615.92, 38,415.56 and 9,820.12

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Solution

The fourth proportional to 25,615.92, 38,415.56 and 9,820.12 is: 14,726.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,615.92 : 38,415.56 = 9,820.12 : x
  2. Step 2: Convert to fraction form
    25,615.92/38,415.56 = 9,820.12/x
  3. Step 3: Cross multiply
    25,615.92x = 38,415.56 × 9,820.12
  4. Step 4: Simplify right side
    25,615.92x = 377,245,409.07
  5. Step 5: Solve for x
    x = 377,245,409.07/25,615.92
  6. Step 6: Final answer
    x = 14,726.99

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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.