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Finding the Fourth Proportional to 20,277.48, 27,980.16 and 11,323.84

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Solution

The fourth proportional to 20,277.48, 27,980.16 and 11,323.84 is: 15,625.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,277.48 : 27,980.16 = 11,323.84 : x
  2. Step 2: Convert to fraction form
    20,277.48/27,980.16 = 11,323.84/x
  3. Step 3: Cross multiply
    20,277.48x = 27,980.16 × 11,323.84
  4. Step 4: Simplify right side
    20,277.48x = 316,842,855.01
  5. Step 5: Solve for x
    x = 316,842,855.01/20,277.48
  6. Step 6: Final answer
    x = 15,625.36

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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.