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Finding the Fourth Proportional to 30,798, 42,501.24 and 16,650.84

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Solution

The fourth proportional to 30,798, 42,501.24 and 16,650.84 is: 22,978.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,798 : 42,501.24 = 16,650.84 : x
  2. Step 2: Convert to fraction form
    30,798/42,501.24 = 16,650.84/x
  3. Step 3: Cross multiply
    30,798x = 42,501.24 × 16,650.84
  4. Step 4: Simplify right side
    30,798x = 707,681,506.42
  5. Step 5: Solve for x
    x = 707,681,506.42/30,798
  6. Step 6: Final answer
    x = 22,978.16

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