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Finding the Fourth Proportional to 12,924.94, 19,384.20 and 3,564.50

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Solution

The fourth proportional to 12,924.94, 19,384.20 and 3,564.50 is: 5,345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,924.94 : 19,384.20 = 3,564.50 : x
  2. Step 2: Convert to fraction form
    12,924.94/19,384.20 = 3,564.50/x
  3. Step 3: Cross multiply
    12,924.94x = 19,384.20 × 3,564.50
  4. Step 4: Simplify right side
    12,924.94x = 69,095,029.36
  5. Step 5: Solve for x
    x = 69,095,029.36/12,924.94
  6. Step 6: Final answer
    x = 5,345.87

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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.