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Finding the Fourth Proportional to 14,538.60, 21,807.90 and 12,205.80

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Solution

The fourth proportional to 14,538.60, 21,807.90 and 12,205.80 is: 18,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,538.60 : 21,807.90 = 12,205.80 : x
  2. Step 2: Convert to fraction form
    14,538.60/21,807.90 = 12,205.80/x
  3. Step 3: Cross multiply
    14,538.60x = 21,807.90 × 12,205.80
  4. Step 4: Simplify right side
    14,538.60x = 266,182,865.82
  5. Step 5: Solve for x
    x = 266,182,865.82/14,538.60
  6. Step 6: Final answer
    x = 18,308.70

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1.5x scale

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.