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Finding the Fourth Proportional to 12,557.64, 18,825.68 and 5,157.48

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Solution

The fourth proportional to 12,557.64, 18,825.68 and 5,157.48 is: 7,731.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,557.64 : 18,825.68 = 5,157.48 : x
  2. Step 2: Convert to fraction form
    12,557.64/18,825.68 = 5,157.48/x
  3. Step 3: Cross multiply
    12,557.64x = 18,825.68 × 5,157.48
  4. Step 4: Simplify right side
    12,557.64x = 97,093,068.09
  5. Step 5: Solve for x
    x = 97,093,068.09/12,557.64
  6. Step 6: Final answer
    x = 7,731.79

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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.