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Finding the Fourth Proportional to 27,783.69, 38,342.40 and 15,208.44

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Solution

The fourth proportional to 27,783.69, 38,342.40 and 15,208.44 is: 20,988.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,783.69 : 38,342.40 = 15,208.44 : x
  2. Step 2: Convert to fraction form
    27,783.69/38,342.40 = 15,208.44/x
  3. Step 3: Cross multiply
    27,783.69x = 38,342.40 × 15,208.44
  4. Step 4: Simplify right side
    27,783.69x = 583,128,089.86
  5. Step 5: Solve for x
    x = 583,128,089.86/27,783.69
  6. Step 6: Final answer
    x = 20,988.14

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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.