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Finding the Fourth Proportional to 18,509.65, 27,764.45 and 6,029.65

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Solution

The fourth proportional to 18,509.65, 27,764.45 and 6,029.65 is: 9,044.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,509.65 : 27,764.45 = 6,029.65 : x
  2. Step 2: Convert to fraction form
    18,509.65/27,764.45 = 6,029.65/x
  3. Step 3: Cross multiply
    18,509.65x = 27,764.45 × 6,029.65
  4. Step 4: Simplify right side
    18,509.65x = 167,409,888.42
  5. Step 5: Solve for x
    x = 167,409,888.42/18,509.65
  6. Step 6: Final answer
    x = 9,044.47

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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.