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Finding the Fourth Proportional to 14,138.30, 19,510.85 and 7,850.67

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Solution

The fourth proportional to 14,138.30, 19,510.85 and 7,850.67 is: 10,833.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.30 : 19,510.85 = 7,850.67 : x
  2. Step 2: Convert to fraction form
    14,138.30/19,510.85 = 7,850.67/x
  3. Step 3: Cross multiply
    14,138.30x = 19,510.85 × 7,850.67
  4. Step 4: Simplify right side
    14,138.30x = 153,173,278.90
  5. Step 5: Solve for x
    x = 153,173,278.90/14,138.30
  6. Step 6: Final answer
    x = 10,833.93

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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.