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Finding the Fourth Proportional to 14,978.42, 20,670.38 and 8,264.28

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Solution

The fourth proportional to 14,978.42, 20,670.38 and 8,264.28 is: 11,404.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.42 : 20,670.38 = 8,264.28 : x
  2. Step 2: Convert to fraction form
    14,978.42/20,670.38 = 8,264.28/x
  3. Step 3: Cross multiply
    14,978.42x = 20,670.38 × 8,264.28
  4. Step 4: Simplify right side
    14,978.42x = 170,825,808.03
  5. Step 5: Solve for x
    x = 170,825,808.03/14,978.42
  6. Step 6: Final answer
    x = 11,404.79

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