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Finding the Fourth Proportional to 22,009.12, 30,372.64 and 12,583.20

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Solution

The fourth proportional to 22,009.12, 30,372.64 and 12,583.20 is: 17,364.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,009.12 : 30,372.64 = 12,583.20 : x
  2. Step 2: Convert to fraction form
    22,009.12/30,372.64 = 12,583.20/x
  3. Step 3: Cross multiply
    22,009.12x = 30,372.64 × 12,583.20
  4. Step 4: Simplify right side
    22,009.12x = 382,185,003.65
  5. Step 5: Solve for x
    x = 382,185,003.65/22,009.12
  6. Step 6: Final answer
    x = 17,364.85

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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.