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Finding the Fourth Proportional to 14,809.16, 20,437.01 and 8,095.07

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Solution

The fourth proportional to 14,809.16, 20,437.01 and 8,095.07 is: 11,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,809.16 : 20,437.01 = 8,095.07 : x
  2. Step 2: Convert to fraction form
    14,809.16/20,437.01 = 8,095.07/x
  3. Step 3: Cross multiply
    14,809.16x = 20,437.01 × 8,095.07
  4. Step 4: Simplify right side
    14,809.16x = 165,438,883.88
  5. Step 5: Solve for x
    x = 165,438,883.88/14,809.16
  6. Step 6: Final answer
    x = 11,171.39

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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.