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Finding the Fourth Proportional to 14,427.78, 19,910.25 and 8,054.01

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Solution

The fourth proportional to 14,427.78, 19,910.25 and 8,054.01 is: 11,114.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,427.78 : 19,910.25 = 8,054.01 : x
  2. Step 2: Convert to fraction form
    14,427.78/19,910.25 = 8,054.01/x
  3. Step 3: Cross multiply
    14,427.78x = 19,910.25 × 8,054.01
  4. Step 4: Simplify right side
    14,427.78x = 160,357,253.05
  5. Step 5: Solve for x
    x = 160,357,253.05/14,427.78
  6. Step 6: Final answer
    x = 11,114.48

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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.