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Finding the Fourth Proportional to 22,304.32, 30,779.28 and 12,232.24

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Solution

The fourth proportional to 22,304.32, 30,779.28 and 12,232.24 is: 16,880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,304.32 : 30,779.28 = 12,232.24 : x
  2. Step 2: Convert to fraction form
    22,304.32/30,779.28 = 12,232.24/x
  3. Step 3: Cross multiply
    22,304.32x = 30,779.28 × 12,232.24
  4. Step 4: Simplify right side
    22,304.32x = 376,499,539.99
  5. Step 5: Solve for x
    x = 376,499,539.99/22,304.32
  6. Step 6: Final answer
    x = 16,880.12

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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.