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Finding the Fourth Proportional to 14,996.51, 20,695.13 and 8,282.87

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Solution

The fourth proportional to 14,996.51, 20,695.13 and 8,282.87 is: 11,430.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,996.51 : 20,695.13 = 8,282.87 : x
  2. Step 2: Convert to fraction form
    14,996.51/20,695.13 = 8,282.87/x
  3. Step 3: Cross multiply
    14,996.51x = 20,695.13 × 8,282.87
  4. Step 4: Simplify right side
    14,996.51x = 171,415,035.20
  5. Step 5: Solve for x
    x = 171,415,035.20/14,996.51
  6. Step 6: Final answer
    x = 11,430.33

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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.