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Finding the Fourth Proportional to 35,968.80, 53,957.12 and 13,801

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Solution

The fourth proportional to 35,968.80, 53,957.12 and 13,801 is: 20,703.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,968.80 : 53,957.12 = 13,801 : x
  2. Step 2: Convert to fraction form
    35,968.80/53,957.12 = 13,801/x
  3. Step 3: Cross multiply
    35,968.80x = 53,957.12 × 13,801
  4. Step 4: Simplify right side
    35,968.80x = 744,662,213.12
  5. Step 5: Solve for x
    x = 744,662,213.12/35,968.80
  6. Step 6: Final answer
    x = 20,703.00

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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.