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Finding the Fourth Proportional to 13,707.72, 20,462.34 and 12,046.98

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Solution

The fourth proportional to 13,707.72, 20,462.34 and 12,046.98 is: 17,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.72 : 20,462.34 = 12,046.98 : x
  2. Step 2: Convert to fraction form
    13,707.72/20,462.34 = 12,046.98/x
  3. Step 3: Cross multiply
    13,707.72x = 20,462.34 × 12,046.98
  4. Step 4: Simplify right side
    13,707.72x = 246,509,400.73
  5. Step 5: Solve for x
    x = 246,509,400.73/13,707.72
  6. Step 6: Final answer
    x = 17,983.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.