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Finding the Fourth Proportional to 22,623.95, 33,927.80 and 7,828.85

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Solution

The fourth proportional to 22,623.95, 33,927.80 and 7,828.85 is: 11,740.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,623.95 : 33,927.80 = 7,828.85 : x
  2. Step 2: Convert to fraction form
    22,623.95/33,927.80 = 7,828.85/x
  3. Step 3: Cross multiply
    22,623.95x = 33,927.80 × 7,828.85
  4. Step 4: Simplify right side
    22,623.95x = 265,615,617.89
  5. Step 5: Solve for x
    x = 265,615,617.89/22,623.95
  6. Step 6: Final answer
    x = 11,740.46

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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.