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Finding the Fourth Proportional to 27,723.70, 41,607.39 and 12,925

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Solution

The fourth proportional to 27,723.70, 41,607.39 and 12,925 is: 19,397.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,723.70 : 41,607.39 = 12,925 : x
  2. Step 2: Convert to fraction form
    27,723.70/41,607.39 = 12,925/x
  3. Step 3: Cross multiply
    27,723.70x = 41,607.39 × 12,925
  4. Step 4: Simplify right side
    27,723.70x = 537,775,515.75
  5. Step 5: Solve for x
    x = 537,775,515.75/27,723.70
  6. Step 6: Final answer
    x = 19,397.68

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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.