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Finding the Fourth Proportional to 27,783.92, 38,341.68 and 15,208.76

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Solution

The fourth proportional to 27,783.92, 38,341.68 and 15,208.76 is: 20,988.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,783.92 : 38,341.68 = 15,208.76 : x
  2. Step 2: Convert to fraction form
    27,783.92/38,341.68 = 15,208.76/x
  3. Step 3: Cross multiply
    27,783.92x = 38,341.68 × 15,208.76
  4. Step 4: Simplify right side
    27,783.92x = 583,129,409.12
  5. Step 5: Solve for x
    x = 583,129,409.12/27,783.92
  6. Step 6: Final answer
    x = 20,988.02

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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.