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Finding the Fourth Proportional to 15,713.58, 23,565.37 and 5,181.64

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Solution

The fourth proportional to 15,713.58, 23,565.37 and 5,181.64 is: 7,770.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.58 : 23,565.37 = 5,181.64 : x
  2. Step 2: Convert to fraction form
    15,713.58/23,565.37 = 5,181.64/x
  3. Step 3: Cross multiply
    15,713.58x = 23,565.37 × 5,181.64
  4. Step 4: Simplify right side
    15,713.58x = 122,107,263.81
  5. Step 5: Solve for x
    x = 122,107,263.81/15,713.58
  6. Step 6: Final answer
    x = 7,770.81

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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.