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Finding the Fourth Proportional to 14,245.60, 19,656.84 and 8,942.12

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Solution

The fourth proportional to 14,245.60, 19,656.84 and 8,942.12 is: 12,338.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,245.60 : 19,656.84 = 8,942.12 : x
  2. Step 2: Convert to fraction form
    14,245.60/19,656.84 = 8,942.12/x
  3. Step 3: Cross multiply
    14,245.60x = 19,656.84 × 8,942.12
  4. Step 4: Simplify right side
    14,245.60x = 175,773,822.10
  5. Step 5: Solve for x
    x = 175,773,822.10/14,245.60
  6. Step 6: Final answer
    x = 12,338.82

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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.