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Finding the Fourth Proportional to 14,934.24, 20,605.44 and 8,646.24

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Solution

The fourth proportional to 14,934.24, 20,605.44 and 8,646.24 is: 11,929.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,934.24 : 20,605.44 = 8,646.24 : x
  2. Step 2: Convert to fraction form
    14,934.24/20,605.44 = 8,646.24/x
  3. Step 3: Cross multiply
    14,934.24x = 20,605.44 × 8,646.24
  4. Step 4: Simplify right side
    14,934.24x = 178,159,579.55
  5. Step 5: Solve for x
    x = 178,159,579.55/14,934.24
  6. Step 6: Final answer
    x = 11,929.60

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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.