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Finding the Fourth Proportional to 14,473.54, 19,977.24 and 8,189.56

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Solution

The fourth proportional to 14,473.54, 19,977.24 and 8,189.56 is: 11,303.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,473.54 : 19,977.24 = 8,189.56 : x
  2. Step 2: Convert to fraction form
    14,473.54/19,977.24 = 8,189.56/x
  3. Step 3: Cross multiply
    14,473.54x = 19,977.24 × 8,189.56
  4. Step 4: Simplify right side
    14,473.54x = 163,604,805.61
  5. Step 5: Solve for x
    x = 163,604,805.61/14,473.54
  6. Step 6: Final answer
    x = 11,303.72

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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.