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Finding the Fourth Proportional to 13,813.68, 19,070.46 and 10,285.32

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Solution

The fourth proportional to 13,813.68, 19,070.46 and 10,285.32 is: 14,199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.68 : 19,070.46 = 10,285.32 : x
  2. Step 2: Convert to fraction form
    13,813.68/19,070.46 = 10,285.32/x
  3. Step 3: Cross multiply
    13,813.68x = 19,070.46 × 10,285.32
  4. Step 4: Simplify right side
    13,813.68x = 196,145,783.65
  5. Step 5: Solve for x
    x = 196,145,783.65/13,813.68
  6. Step 6: Final answer
    x = 14,199.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.