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Finding the Fourth Proportional to 27,762.96, 38,315.52 and 15,189.60

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Solution

The fourth proportional to 27,762.96, 38,315.52 and 15,189.60 is: 20,963.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762.96 : 38,315.52 = 15,189.60 : x
  2. Step 2: Convert to fraction form
    27,762.96/38,315.52 = 15,189.60/x
  3. Step 3: Cross multiply
    27,762.96x = 38,315.52 × 15,189.60
  4. Step 4: Simplify right side
    27,762.96x = 581,997,422.59
  5. Step 5: Solve for x
    x = 581,997,422.59/27,762.96
  6. Step 6: Final answer
    x = 20,963.09

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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.