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Finding the Fourth Proportional to 16,439.75, 22,686.34 and 9,368.45

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Solution

The fourth proportional to 16,439.75, 22,686.34 and 9,368.45 is: 12,928.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,439.75 : 22,686.34 = 9,368.45 : x
  2. Step 2: Convert to fraction form
    16,439.75/22,686.34 = 9,368.45/x
  3. Step 3: Cross multiply
    16,439.75x = 22,686.34 × 9,368.45
  4. Step 4: Simplify right side
    16,439.75x = 212,535,841.97
  5. Step 5: Solve for x
    x = 212,535,841.97/16,439.75
  6. Step 6: Final answer
    x = 12,928.17

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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.