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Finding the Fourth Proportional to 18,896.98, 28,345.47 and 13,416.50

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Solution

The fourth proportional to 18,896.98, 28,345.47 and 13,416.50 is: 20,124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,896.98 : 28,345.47 = 13,416.50 : x
  2. Step 2: Convert to fraction form
    18,896.98/28,345.47 = 13,416.50/x
  3. Step 3: Cross multiply
    18,896.98x = 28,345.47 × 13,416.50
  4. Step 4: Simplify right side
    18,896.98x = 380,296,789.45
  5. Step 5: Solve for x
    x = 380,296,789.45/18,896.98
  6. Step 6: Final answer
    x = 20,124.74

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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.