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Finding the Fourth Proportional to 30,785.76, 42,484.28 and 16,638.57

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Solution

The fourth proportional to 30,785.76, 42,484.28 and 16,638.57 is: 22,961.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,785.76 : 42,484.28 = 16,638.57 : x
  2. Step 2: Convert to fraction form
    30,785.76/42,484.28 = 16,638.57/x
  3. Step 3: Cross multiply
    30,785.76x = 42,484.28 × 16,638.57
  4. Step 4: Simplify right side
    30,785.76x = 706,877,583.49
  5. Step 5: Solve for x
    x = 706,877,583.49/30,785.76
  6. Step 6: Final answer
    x = 22,961.19

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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.