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Finding the Fourth Proportional to 14,362.54, 19,819.29 and 8,075.86

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Solution

The fourth proportional to 14,362.54, 19,819.29 and 8,075.86 is: 11,144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,362.54 : 19,819.29 = 8,075.86 : x
  2. Step 2: Convert to fraction form
    14,362.54/19,819.29 = 8,075.86/x
  3. Step 3: Cross multiply
    14,362.54x = 19,819.29 × 8,075.86
  4. Step 4: Simplify right side
    14,362.54x = 160,057,811.34
  5. Step 5: Solve for x
    x = 160,057,811.34/14,362.54
  6. Step 6: Final answer
    x = 11,144.12

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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.