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Finding the Fourth Proportional to 14,686.38, 22,015.08 and 9,406.40

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Solution

The fourth proportional to 14,686.38, 22,015.08 and 9,406.40 is: 14,100.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686.38 : 22,015.08 = 9,406.40 : x
  2. Step 2: Convert to fraction form
    14,686.38/22,015.08 = 9,406.40/x
  3. Step 3: Cross multiply
    14,686.38x = 22,015.08 × 9,406.40
  4. Step 4: Simplify right side
    14,686.38x = 207,082,538.44
  5. Step 5: Solve for x
    x = 207,082,538.44/14,686.38
  6. Step 6: Final answer
    x = 14,100.31

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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.