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Finding the Fourth Proportional to 15,474.63, 23,208.99 and 4,378.65

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Solution

The fourth proportional to 15,474.63, 23,208.99 and 4,378.65 is: 6,567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,474.63 : 23,208.99 = 4,378.65 : x
  2. Step 2: Convert to fraction form
    15,474.63/23,208.99 = 4,378.65/x
  3. Step 3: Cross multiply
    15,474.63x = 23,208.99 × 4,378.65
  4. Step 4: Simplify right side
    15,474.63x = 101,624,044.06
  5. Step 5: Solve for x
    x = 101,624,044.06/15,474.63
  6. Step 6: Final answer
    x = 6,567.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.