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Finding the Fourth Proportional to 14,694.69, 20,283.68 and 9,029.66

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Solution

The fourth proportional to 14,694.69, 20,283.68 and 9,029.66 is: 12,464.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,694.69 : 20,283.68 = 9,029.66 : x
  2. Step 2: Convert to fraction form
    14,694.69/20,283.68 = 9,029.66/x
  3. Step 3: Cross multiply
    14,694.69x = 20,283.68 × 9,029.66
  4. Step 4: Simplify right side
    14,694.69x = 183,154,688.80
  5. Step 5: Solve for x
    x = 183,154,688.80/14,694.69
  6. Step 6: Final answer
    x = 12,464.00

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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.