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Finding the Fourth Proportional to 35,416.44, 53,131.95 and 13,224.47

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Solution

The fourth proportional to 35,416.44, 53,131.95 and 13,224.47 is: 19,839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,416.44 : 53,131.95 = 13,224.47 : x
  2. Step 2: Convert to fraction form
    35,416.44/53,131.95 = 13,224.47/x
  3. Step 3: Cross multiply
    35,416.44x = 53,131.95 × 13,224.47
  4. Step 4: Simplify right side
    35,416.44x = 702,641,613.16
  5. Step 5: Solve for x
    x = 702,641,613.16/35,416.44
  6. Step 6: Final answer
    x = 19,839.42

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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.