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Finding the Fourth Proportional to 14,686.40, 22,015.12 and 9,406.42

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Solution

The fourth proportional to 14,686.40, 22,015.12 and 9,406.42 is: 14,100.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686.40 : 22,015.12 = 9,406.42 : x
  2. Step 2: Convert to fraction form
    14,686.40/22,015.12 = 9,406.42/x
  3. Step 3: Cross multiply
    14,686.40x = 22,015.12 × 9,406.42
  4. Step 4: Simplify right side
    14,686.40x = 207,083,465.07
  5. Step 5: Solve for x
    x = 207,083,465.07/14,686.40
  6. Step 6: Final answer
    x = 14,100.36

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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.