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Finding the Fourth Proportional to 14,101.95, 19,464.97 and 8,137.52

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Solution

The fourth proportional to 14,101.95, 19,464.97 and 8,137.52 is: 11,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.95 : 19,464.97 = 8,137.52 : x
  2. Step 2: Convert to fraction form
    14,101.95/19,464.97 = 8,137.52/x
  3. Step 3: Cross multiply
    14,101.95x = 19,464.97 × 8,137.52
  4. Step 4: Simplify right side
    14,101.95x = 158,396,582.67
  5. Step 5: Solve for x
    x = 158,396,582.67/14,101.95
  6. Step 6: Final answer
    x = 11,232.25

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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.