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Finding the Fourth Proportional to 15,713.90, 23,561.93 and 5,181.06

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Solution

The fourth proportional to 15,713.90, 23,561.93 and 5,181.06 is: 7,768.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.90 : 23,561.93 = 5,181.06 : x
  2. Step 2: Convert to fraction form
    15,713.90/23,561.93 = 5,181.06/x
  3. Step 3: Cross multiply
    15,713.90x = 23,561.93 × 5,181.06
  4. Step 4: Simplify right side
    15,713.90x = 122,075,773.05
  5. Step 5: Solve for x
    x = 122,075,773.05/15,713.90
  6. Step 6: Final answer
    x = 7,768.65

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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.