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Finding the Fourth Proportional to 13,036.47, 17,984.00 and 7,727.54

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Solution

The fourth proportional to 13,036.47, 17,984.00 and 7,727.54 is: 10,660.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,036.47 : 17,984.00 = 7,727.54 : x
  2. Step 2: Convert to fraction form
    13,036.47/17,984.00 = 7,727.54/x
  3. Step 3: Cross multiply
    13,036.47x = 17,984.00 × 7,727.54
  4. Step 4: Simplify right side
    13,036.47x = 138,971,950.80
  5. Step 5: Solve for x
    x = 138,971,950.80/13,036.47
  6. Step 6: Final answer
    x = 10,660.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.