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Finding the Fourth Proportional to 30,962.44, 42,727.98 and 16,815.16

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Solution

The fourth proportional to 30,962.44, 42,727.98 and 16,815.16 is: 23,204.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,962.44 : 42,727.98 = 16,815.16 : x
  2. Step 2: Convert to fraction form
    30,962.44/42,727.98 = 16,815.16/x
  3. Step 3: Cross multiply
    30,962.44x = 42,727.98 × 16,815.16
  4. Step 4: Simplify right side
    30,962.44x = 718,477,820.18
  5. Step 5: Solve for x
    x = 718,477,820.18/30,962.44
  6. Step 6: Final answer
    x = 23,204.82

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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.