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Finding the Fourth Proportional to 14,536.34, 20,054.97 and 9,503.45

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Solution

The fourth proportional to 14,536.34, 20,054.97 and 9,503.45 is: 13,111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536.34 : 20,054.97 = 9,503.45 : x
  2. Step 2: Convert to fraction form
    14,536.34/20,054.97 = 9,503.45/x
  3. Step 3: Cross multiply
    14,536.34x = 20,054.97 × 9,503.45
  4. Step 4: Simplify right side
    14,536.34x = 190,591,404.65
  5. Step 5: Solve for x
    x = 190,591,404.65/14,536.34
  6. Step 6: Final answer
    x = 13,111.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.