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Finding the Fourth Proportional to 27,788.48, 38,347.52 and 15,212.80

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Solution

The fourth proportional to 27,788.48, 38,347.52 and 15,212.80 is: 20,993.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,788.48 : 38,347.52 = 15,212.80 : x
  2. Step 2: Convert to fraction form
    27,788.48/38,347.52 = 15,212.80/x
  3. Step 3: Cross multiply
    27,788.48x = 38,347.52 × 15,212.80
  4. Step 4: Simplify right side
    27,788.48x = 583,373,152.26
  5. Step 5: Solve for x
    x = 583,373,152.26/27,788.48
  6. Step 6: Final answer
    x = 20,993.35

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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.