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Finding the Fourth Proportional to 14,993.40, 22,476.74 and 7,594.05

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Solution

The fourth proportional to 14,993.40, 22,476.74 and 7,594.05 is: 11,384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,993.40 : 22,476.74 = 7,594.05 : x
  2. Step 2: Convert to fraction form
    14,993.40/22,476.74 = 7,594.05/x
  3. Step 3: Cross multiply
    14,993.40x = 22,476.74 × 7,594.05
  4. Step 4: Simplify right side
    14,993.40x = 170,689,576.43
  5. Step 5: Solve for x
    x = 170,689,576.43/14,993.40
  6. Step 6: Final answer
    x = 11,384.31

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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.