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Finding the Fourth Proportional to 14,554.94, 20,085.71 and 8,586.62

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Solution

The fourth proportional to 14,554.94, 20,085.71 and 8,586.62 is: 11,849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,554.94 : 20,085.71 = 8,586.62 : x
  2. Step 2: Convert to fraction form
    14,554.94/20,085.71 = 8,586.62/x
  3. Step 3: Cross multiply
    14,554.94x = 20,085.71 × 8,586.62
  4. Step 4: Simplify right side
    14,554.94x = 172,468,359.20
  5. Step 5: Solve for x
    x = 172,468,359.20/14,554.94
  6. Step 6: Final answer
    x = 11,849.47

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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.