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Finding the Fourth Proportional to 14,598, 20,148.84 and 8,314.08

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Solution

The fourth proportional to 14,598, 20,148.84 and 8,314.08 is: 11,475.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,598 : 20,148.84 = 8,314.08 : x
  2. Step 2: Convert to fraction form
    14,598/20,148.84 = 8,314.08/x
  3. Step 3: Cross multiply
    14,598x = 20,148.84 × 8,314.08
  4. Step 4: Simplify right side
    14,598x = 167,519,067.67
  5. Step 5: Solve for x
    x = 167,519,067.67/14,598
  6. Step 6: Final answer
    x = 11,475.48

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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.