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Finding the Fourth Proportional to 12,164.16, 18,254.56 and 4,266.72

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Solution

The fourth proportional to 12,164.16, 18,254.56 and 4,266.72 is: 6,403.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.16 : 18,254.56 = 4,266.72 : x
  2. Step 2: Convert to fraction form
    12,164.16/18,254.56 = 4,266.72/x
  3. Step 3: Cross multiply
    12,164.16x = 18,254.56 × 4,266.72
  4. Step 4: Simplify right side
    12,164.16x = 77,887,096.24
  5. Step 5: Solve for x
    x = 77,887,096.24/12,164.16
  6. Step 6: Final answer
    x = 6,403.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.