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Finding the Fourth Proportional to 35,412.85, 53,114.01 and 13,223.44

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Solution

The fourth proportional to 35,412.85, 53,114.01 and 13,223.44 is: 19,833.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,412.85 : 53,114.01 = 13,223.44 : x
  2. Step 2: Convert to fraction form
    35,412.85/53,114.01 = 13,223.44/x
  3. Step 3: Cross multiply
    35,412.85x = 53,114.01 × 13,223.44
  4. Step 4: Simplify right side
    35,412.85x = 702,349,924.39
  5. Step 5: Solve for x
    x = 702,349,924.39/35,412.85
  6. Step 6: Final answer
    x = 19,833.19

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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.