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Finding the Fourth Proportional to 30,785.72, 42,484.23 and 16,638.53

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Solution

The fourth proportional to 30,785.72, 42,484.23 and 16,638.53 is: 22,961.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,785.72 : 42,484.23 = 16,638.53 : x
  2. Step 2: Convert to fraction form
    30,785.72/42,484.23 = 16,638.53/x
  3. Step 3: Cross multiply
    30,785.72x = 42,484.23 × 16,638.53
  4. Step 4: Simplify right side
    30,785.72x = 706,874,922.96
  5. Step 5: Solve for x
    x = 706,874,922.96/30,785.72
  6. Step 6: Final answer
    x = 22,961.13

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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.