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Finding the Fourth Proportional to 14,853.63, 22,266.49 and 4,986

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Solution

The fourth proportional to 14,853.63, 22,266.49 and 4,986 is: 7,474.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,853.63 : 22,266.49 = 4,986 : x
  2. Step 2: Convert to fraction form
    14,853.63/22,266.49 = 4,986/x
  3. Step 3: Cross multiply
    14,853.63x = 22,266.49 × 4,986
  4. Step 4: Simplify right side
    14,853.63x = 111,020,719.14
  5. Step 5: Solve for x
    x = 111,020,719.14/14,853.63
  6. Step 6: Final answer
    x = 7,474.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.