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Finding the Fourth Proportional to 30,984.32, 42,758.26 and 16,837.16

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Solution

The fourth proportional to 30,984.32, 42,758.26 and 16,837.16 is: 23,235.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,984.32 : 42,758.26 = 16,837.16 : x
  2. Step 2: Convert to fraction form
    30,984.32/42,758.26 = 16,837.16/x
  3. Step 3: Cross multiply
    30,984.32x = 42,758.26 × 16,837.16
  4. Step 4: Simplify right side
    30,984.32x = 719,927,664.94
  5. Step 5: Solve for x
    x = 719,927,664.94/30,984.32
  6. Step 6: Final answer
    x = 23,235.23

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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.