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Finding the Fourth Proportional to 14,536.51, 20,055.14 and 8,245.24

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Solution

The fourth proportional to 14,536.51, 20,055.14 and 8,245.24 is: 11,375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536.51 : 20,055.14 = 8,245.24 : x
  2. Step 2: Convert to fraction form
    14,536.51/20,055.14 = 8,245.24/x
  3. Step 3: Cross multiply
    14,536.51x = 20,055.14 × 8,245.24
  4. Step 4: Simplify right side
    14,536.51x = 165,359,401.31
  5. Step 5: Solve for x
    x = 165,359,401.31/14,536.51
  6. Step 6: Final answer
    x = 11,375.45

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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.