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Finding the Fourth Proportional to 13,096.98, 19,653.62 and 5,701.50

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Solution

The fourth proportional to 13,096.98, 19,653.62 and 5,701.50 is: 8,555.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.98 : 19,653.62 = 5,701.50 : x
  2. Step 2: Convert to fraction form
    13,096.98/19,653.62 = 5,701.50/x
  3. Step 3: Cross multiply
    13,096.98x = 19,653.62 × 5,701.50
  4. Step 4: Simplify right side
    13,096.98x = 112,055,085.92
  5. Step 5: Solve for x
    x = 112,055,085.92/13,096.98
  6. Step 6: Final answer
    x = 8,555.80

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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.