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Finding the Fourth Proportional to 13,085.46, 19,636.74 and 7,816.50

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Solution

The fourth proportional to 13,085.46, 19,636.74 and 7,816.50 is: 11,729.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,085.46 : 19,636.74 = 7,816.50 : x
  2. Step 2: Convert to fraction form
    13,085.46/19,636.74 = 7,816.50/x
  3. Step 3: Cross multiply
    13,085.46x = 19,636.74 × 7,816.50
  4. Step 4: Simplify right side
    13,085.46x = 153,490,578.21
  5. Step 5: Solve for x
    x = 153,490,578.21/13,085.46
  6. Step 6: Final answer
    x = 11,729.86

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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.