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Finding the Fourth Proportional to 14,138.67, 19,511.37 and 7,851.05

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Solution

The fourth proportional to 14,138.67, 19,511.37 and 7,851.05 is: 10,834.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.67 : 19,511.37 = 7,851.05 : x
  2. Step 2: Convert to fraction form
    14,138.67/19,511.37 = 7,851.05/x
  3. Step 3: Cross multiply
    14,138.67x = 19,511.37 × 7,851.05
  4. Step 4: Simplify right side
    14,138.67x = 153,184,687.61
  5. Step 5: Solve for x
    x = 153,184,687.61/14,138.67
  6. Step 6: Final answer
    x = 10,834.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.