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Finding the Fourth Proportional to 19,962.72, 27,561.40 and 12,419.32

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Solution

The fourth proportional to 19,962.72, 27,561.40 and 12,419.32 is: 17,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,962.72 : 27,561.40 = 12,419.32 : x
  2. Step 2: Convert to fraction form
    19,962.72/27,561.40 = 12,419.32/x
  3. Step 3: Cross multiply
    19,962.72x = 27,561.40 × 12,419.32
  4. Step 4: Simplify right side
    19,962.72x = 342,293,846.25
  5. Step 5: Solve for x
    x = 342,293,846.25/19,962.72
  6. Step 6: Final answer
    x = 17,146.65

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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.