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Finding the Fourth Proportional to 14,453.84, 19,947.52 and 8,167.36

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Solution

The fourth proportional to 14,453.84, 19,947.52 and 8,167.36 is: 11,271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,453.84 : 19,947.52 = 8,167.36 : x
  2. Step 2: Convert to fraction form
    14,453.84/19,947.52 = 8,167.36/x
  3. Step 3: Cross multiply
    14,453.84x = 19,947.52 × 8,167.36
  4. Step 4: Simplify right side
    14,453.84x = 162,918,576.95
  5. Step 5: Solve for x
    x = 162,918,576.95/14,453.84
  6. Step 6: Final answer
    x = 11,271.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.