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Finding the Fourth Proportional to 14,838.68, 20,476.60 and 8,123.02

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Solution

The fourth proportional to 14,838.68, 20,476.60 and 8,123.02 is: 11,209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838.68 : 20,476.60 = 8,123.02 : x
  2. Step 2: Convert to fraction form
    14,838.68/20,476.60 = 8,123.02/x
  3. Step 3: Cross multiply
    14,838.68x = 20,476.60 × 8,123.02
  4. Step 4: Simplify right side
    14,838.68x = 166,331,739.53
  5. Step 5: Solve for x
    x = 166,331,739.53/14,838.68
  6. Step 6: Final answer
    x = 11,209.34

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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.