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Finding the Fourth Proportional to 14,462.82, 19,952.81 and 9,425.21

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Solution

The fourth proportional to 14,462.82, 19,952.81 and 9,425.21 is: 13,002.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,462.82 : 19,952.81 = 9,425.21 : x
  2. Step 2: Convert to fraction form
    14,462.82/19,952.81 = 9,425.21/x
  3. Step 3: Cross multiply
    14,462.82x = 19,952.81 × 9,425.21
  4. Step 4: Simplify right side
    14,462.82x = 188,059,277.45
  5. Step 5: Solve for x
    x = 188,059,277.45/14,462.82
  6. Step 6: Final answer
    x = 13,002.95

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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.