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Finding the Fourth Proportional to 16,842.30, 25,271.55 and 12,892.20

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Solution

The fourth proportional to 16,842.30, 25,271.55 and 12,892.20 is: 19,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842.30 : 25,271.55 = 12,892.20 : x
  2. Step 2: Convert to fraction form
    16,842.30/25,271.55 = 12,892.20/x
  3. Step 3: Cross multiply
    16,842.30x = 25,271.55 × 12,892.20
  4. Step 4: Simplify right side
    16,842.30x = 325,805,876.91
  5. Step 5: Solve for x
    x = 325,805,876.91/16,842.30
  6. Step 6: Final answer
    x = 19,344.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.