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Finding the Fourth Proportional to 22,477.28, 33,683.79 and 16,507.34

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Solution

The fourth proportional to 22,477.28, 33,683.79 and 16,507.34 is: 24,737.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,477.28 : 33,683.79 = 16,507.34 : x
  2. Step 2: Convert to fraction form
    22,477.28/33,683.79 = 16,507.34/x
  3. Step 3: Cross multiply
    22,477.28x = 33,683.79 × 16,507.34
  4. Step 4: Simplify right side
    22,477.28x = 556,029,774.02
  5. Step 5: Solve for x
    x = 556,029,774.02/22,477.28
  6. Step 6: Final answer
    x = 24,737.41

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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.