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Finding the Fourth Proportional to 14,122.66, 19,491.81 and 8,153.50

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Solution

The fourth proportional to 14,122.66, 19,491.81 and 8,153.50 is: 11,253.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122.66 : 19,491.81 = 8,153.50 : x
  2. Step 2: Convert to fraction form
    14,122.66/19,491.81 = 8,153.50/x
  3. Step 3: Cross multiply
    14,122.66x = 19,491.81 × 8,153.50
  4. Step 4: Simplify right side
    14,122.66x = 158,926,472.84
  5. Step 5: Solve for x
    x = 158,926,472.84/14,122.66
  6. Step 6: Final answer
    x = 11,253.30

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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.