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Finding the Fourth Proportional to 15,705.88, 23,563.07 and 5,317.63

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Solution

The fourth proportional to 15,705.88, 23,563.07 and 5,317.63 is: 7,977.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.88 : 23,563.07 = 5,317.63 : x
  2. Step 2: Convert to fraction form
    15,705.88/23,563.07 = 5,317.63/x
  3. Step 3: Cross multiply
    15,705.88x = 23,563.07 × 5,317.63
  4. Step 4: Simplify right side
    15,705.88x = 125,299,687.92
  5. Step 5: Solve for x
    x = 125,299,687.92/15,705.88
  6. Step 6: Final answer
    x = 7,977.88

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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.