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Finding the Fourth Proportional to 12,523.95, 18,784.31 and 4,731.75

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Solution

The fourth proportional to 12,523.95, 18,784.31 and 4,731.75 is: 7,097.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.95 : 18,784.31 = 4,731.75 : x
  2. Step 2: Convert to fraction form
    12,523.95/18,784.31 = 4,731.75/x
  3. Step 3: Cross multiply
    12,523.95x = 18,784.31 × 4,731.75
  4. Step 4: Simplify right side
    12,523.95x = 88,882,635.18
  5. Step 5: Solve for x
    x = 88,882,635.18/12,523.95
  6. Step 6: Final answer
    x = 7,097.01

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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.