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Finding the Fourth Proportional to 14,830.29, 20,464.25 and 8,456.40

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Solution

The fourth proportional to 14,830.29, 20,464.25 and 8,456.40 is: 11,668.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,830.29 : 20,464.25 = 8,456.40 : x
  2. Step 2: Convert to fraction form
    14,830.29/20,464.25 = 8,456.40/x
  3. Step 3: Cross multiply
    14,830.29x = 20,464.25 × 8,456.40
  4. Step 4: Simplify right side
    14,830.29x = 173,053,841.42
  5. Step 5: Solve for x
    x = 173,053,841.42/14,830.29
  6. Step 6: Final answer
    x = 11,668.95

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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.