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Finding the Fourth Proportional to 27,285.84, 40,928.76 and 19,509.84

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Solution

The fourth proportional to 27,285.84, 40,928.76 and 19,509.84 is: 29,264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,285.84 : 40,928.76 = 19,509.84 : x
  2. Step 2: Convert to fraction form
    27,285.84/40,928.76 = 19,509.84/x
  3. Step 3: Cross multiply
    27,285.84x = 40,928.76 × 19,509.84
  4. Step 4: Simplify right side
    27,285.84x = 798,513,559.00
  5. Step 5: Solve for x
    x = 798,513,559.00/27,285.84
  6. Step 6: Final answer
    x = 29,264.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.