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Finding the Fourth Proportional to 14,700.49, 20,287.07 and 8,414.89

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Solution

The fourth proportional to 14,700.49, 20,287.07 and 8,414.89 is: 11,612.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,700.49 : 20,287.07 = 8,414.89 : x
  2. Step 2: Convert to fraction form
    14,700.49/20,287.07 = 8,414.89/x
  3. Step 3: Cross multiply
    14,700.49x = 20,287.07 × 8,414.89
  4. Step 4: Simplify right side
    14,700.49x = 170,713,420.40
  5. Step 5: Solve for x
    x = 170,713,420.40/14,700.49
  6. Step 6: Final answer
    x = 11,612.77

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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.