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Finding the Fourth Proportional to 14,000.30, 19,319.49 and 7,712.67

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Solution

The fourth proportional to 14,000.30, 19,319.49 and 7,712.67 is: 10,642.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000.30 : 19,319.49 = 7,712.67 : x
  2. Step 2: Convert to fraction form
    14,000.30/19,319.49 = 7,712.67/x
  3. Step 3: Cross multiply
    14,000.30x = 19,319.49 × 7,712.67
  4. Step 4: Simplify right side
    14,000.30x = 149,004,850.94
  5. Step 5: Solve for x
    x = 149,004,850.94/14,000.30
  6. Step 6: Final answer
    x = 10,642.98

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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.