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Finding the Fourth Proportional to 30,886.16, 42,622.44 and 16,738.64

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Solution

The fourth proportional to 30,886.16, 42,622.44 and 16,738.64 is: 23,099.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,886.16 : 42,622.44 = 16,738.64 : x
  2. Step 2: Convert to fraction form
    30,886.16/42,622.44 = 16,738.64/x
  3. Step 3: Cross multiply
    30,886.16x = 42,622.44 × 16,738.64
  4. Step 4: Simplify right side
    30,886.16x = 713,441,679.08
  5. Step 5: Solve for x
    x = 713,441,679.08/30,886.16
  6. Step 6: Final answer
    x = 23,099.07

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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.