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Finding the Fourth Proportional to 35,512.94, 53,255.50 and 13,314.22

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Solution

The fourth proportional to 35,512.94, 53,255.50 and 13,314.22 is: 19,966.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,512.94 : 53,255.50 = 13,314.22 : x
  2. Step 2: Convert to fraction form
    35,512.94/53,255.50 = 13,314.22/x
  3. Step 3: Cross multiply
    35,512.94x = 53,255.50 × 13,314.22
  4. Step 4: Simplify right side
    35,512.94x = 709,055,276.79
  5. Step 5: Solve for x
    x = 709,055,276.79/35,512.94
  6. Step 6: Final answer
    x = 19,966.11

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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.