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Finding the Fourth Proportional to 14,384.69, 21,589.89 and 7,369.48

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Solution

The fourth proportional to 14,384.69, 21,589.89 and 7,369.48 is: 11,060.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.69 : 21,589.89 = 7,369.48 : x
  2. Step 2: Convert to fraction form
    14,384.69/21,589.89 = 7,369.48/x
  3. Step 3: Cross multiply
    14,384.69x = 21,589.89 × 7,369.48
  4. Step 4: Simplify right side
    14,384.69x = 159,106,303.36
  5. Step 5: Solve for x
    x = 159,106,303.36/14,384.69
  6. Step 6: Final answer
    x = 11,060.81

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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.