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Finding the Fourth Proportional to 13,503.86, 18,636.26 and 7,536.69

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Solution

The fourth proportional to 13,503.86, 18,636.26 and 7,536.69 is: 10,401.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.86 : 18,636.26 = 7,536.69 : x
  2. Step 2: Convert to fraction form
    13,503.86/18,636.26 = 7,536.69/x
  3. Step 3: Cross multiply
    13,503.86x = 18,636.26 × 7,536.69
  4. Step 4: Simplify right side
    13,503.86x = 140,455,719.09
  5. Step 5: Solve for x
    x = 140,455,719.09/13,503.86
  6. Step 6: Final answer
    x = 10,401.15

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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.