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Finding the Fourth Proportional to 14,472.56, 19,969.99 and 8,184.80

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Solution

The fourth proportional to 14,472.56, 19,969.99 and 8,184.80 is: 11,293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,472.56 : 19,969.99 = 8,184.80 : x
  2. Step 2: Convert to fraction form
    14,472.56/19,969.99 = 8,184.80/x
  3. Step 3: Cross multiply
    14,472.56x = 19,969.99 × 8,184.80
  4. Step 4: Simplify right side
    14,472.56x = 163,450,253.84
  5. Step 5: Solve for x
    x = 163,450,253.84/14,472.56
  6. Step 6: Final answer
    x = 11,293.81

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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.