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Finding the Fourth Proportional to 14,722.10, 20,314.65 and 9,952.42

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Solution

The fourth proportional to 14,722.10, 20,314.65 and 9,952.42 is: 13,733.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,722.10 : 20,314.65 = 9,952.42 : x
  2. Step 2: Convert to fraction form
    14,722.10/20,314.65 = 9,952.42/x
  3. Step 3: Cross multiply
    14,722.10x = 20,314.65 × 9,952.42
  4. Step 4: Simplify right side
    14,722.10x = 202,179,852.26
  5. Step 5: Solve for x
    x = 202,179,852.26/14,722.10
  6. Step 6: Final answer
    x = 13,733.09

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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.