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Finding the Fourth Proportional to 19,779.38, 27,300 and 12,233.01

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Solution

The fourth proportional to 19,779.38, 27,300 and 12,233.01 is: 16,884.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,779.38 : 27,300 = 12,233.01 : x
  2. Step 2: Convert to fraction form
    19,779.38/27,300 = 12,233.01/x
  3. Step 3: Cross multiply
    19,779.38x = 27,300 × 12,233.01
  4. Step 4: Simplify right side
    19,779.38x = 333,961,173
  5. Step 5: Solve for x
    x = 333,961,173/19,779.38
  6. Step 6: Final answer
    x = 16,884.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.