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Finding the Fourth Proportional to 12,950.65, 19,423.13 and 4,631.24

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Solution

The fourth proportional to 12,950.65, 19,423.13 and 4,631.24 is: 6,945.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.65 : 19,423.13 = 4,631.24 : x
  2. Step 2: Convert to fraction form
    12,950.65/19,423.13 = 4,631.24/x
  3. Step 3: Cross multiply
    12,950.65x = 19,423.13 × 4,631.24
  4. Step 4: Simplify right side
    12,950.65x = 89,953,201.98
  5. Step 5: Solve for x
    x = 89,953,201.98/12,950.65
  6. Step 6: Final answer
    x = 6,945.84

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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.