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Finding the Fourth Proportional to 14,536.35, 20,054.97 and 9,503.46

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Solution

The fourth proportional to 14,536.35, 20,054.97 and 9,503.46 is: 13,111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536.35 : 20,054.97 = 9,503.46 : x
  2. Step 2: Convert to fraction form
    14,536.35/20,054.97 = 9,503.46/x
  3. Step 3: Cross multiply
    14,536.35x = 20,054.97 × 9,503.46
  4. Step 4: Simplify right side
    14,536.35x = 190,591,605.20
  5. Step 5: Solve for x
    x = 190,591,605.20/14,536.35
  6. Step 6: Final answer
    x = 13,111.38

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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.