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Finding the Fourth Proportional to 35,708.36, 53,524.77 and 13,204.57

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Solution

The fourth proportional to 35,708.36, 53,524.77 and 13,204.57 is: 19,792.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,708.36 : 53,524.77 = 13,204.57 : x
  2. Step 2: Convert to fraction form
    35,708.36/53,524.77 = 13,204.57/x
  3. Step 3: Cross multiply
    35,708.36x = 53,524.77 × 13,204.57
  4. Step 4: Simplify right side
    35,708.36x = 706,771,572.20
  5. Step 5: Solve for x
    x = 706,771,572.20/35,708.36
  6. Step 6: Final answer
    x = 19,792.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.