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Finding the Fourth Proportional to 14,921.82, 20,598.03 and 9,257.76

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Solution

The fourth proportional to 14,921.82, 20,598.03 and 9,257.76 is: 12,779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,921.82 : 20,598.03 = 9,257.76 : x
  2. Step 2: Convert to fraction form
    14,921.82/20,598.03 = 9,257.76/x
  3. Step 3: Cross multiply
    14,921.82x = 20,598.03 × 9,257.76
  4. Step 4: Simplify right side
    14,921.82x = 190,691,618.21
  5. Step 5: Solve for x
    x = 190,691,618.21/14,921.82
  6. Step 6: Final answer
    x = 12,779.38

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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.