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Finding the Fourth Proportional to 14,689.40, 22,019.62 and 9,409.42

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Solution

The fourth proportional to 14,689.40, 22,019.62 and 9,409.42 is: 14,104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689.40 : 22,019.62 = 9,409.42 : x
  2. Step 2: Convert to fraction form
    14,689.40/22,019.62 = 9,409.42/x
  3. Step 3: Cross multiply
    14,689.40x = 22,019.62 × 9,409.42
  4. Step 4: Simplify right side
    14,689.40x = 207,191,852.82
  5. Step 5: Solve for x
    x = 207,191,852.82/14,689.40
  6. Step 6: Final answer
    x = 14,104.85

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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.