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Finding the Fourth Proportional to 35,976.84, 53,969.16 and 13,809

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Solution

The fourth proportional to 35,976.84, 53,969.16 and 13,809 is: 20,715.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,976.84 : 53,969.16 = 13,809 : x
  2. Step 2: Convert to fraction form
    35,976.84/53,969.16 = 13,809/x
  3. Step 3: Cross multiply
    35,976.84x = 53,969.16 × 13,809
  4. Step 4: Simplify right side
    35,976.84x = 745,260,130.44
  5. Step 5: Solve for x
    x = 745,260,130.44/35,976.84
  6. Step 6: Final answer
    x = 20,715.00

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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.