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Finding the Fourth Proportional to 12,422.16, 18,642.96 and 4,631.40

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Solution

The fourth proportional to 12,422.16, 18,642.96 and 4,631.40 is: 6,950.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422.16 : 18,642.96 = 4,631.40 : x
  2. Step 2: Convert to fraction form
    12,422.16/18,642.96 = 4,631.40/x
  3. Step 3: Cross multiply
    12,422.16x = 18,642.96 × 4,631.40
  4. Step 4: Simplify right side
    12,422.16x = 86,343,004.94
  5. Step 5: Solve for x
    x = 86,343,004.94/12,422.16
  6. Step 6: Final answer
    x = 6,950.72

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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.