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Finding the Fourth Proportional to 22,448.56, 30,980.86 and 12,378.98

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Solution

The fourth proportional to 22,448.56, 30,980.86 and 12,378.98 is: 17,084.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,448.56 : 30,980.86 = 12,378.98 : x
  2. Step 2: Convert to fraction form
    22,448.56/30,980.86 = 12,378.98/x
  3. Step 3: Cross multiply
    22,448.56x = 30,980.86 × 12,378.98
  4. Step 4: Simplify right side
    22,448.56x = 383,511,260.47
  5. Step 5: Solve for x
    x = 383,511,260.47/22,448.56
  6. Step 6: Final answer
    x = 17,084.00

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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.