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Finding the Fourth Proportional to 30,921.96, 42,672.02 and 16,774.76

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Solution

The fourth proportional to 30,921.96, 42,672.02 and 16,774.76 is: 23,149.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,921.96 : 42,672.02 = 16,774.76 : x
  2. Step 2: Convert to fraction form
    30,921.96/42,672.02 = 16,774.76/x
  3. Step 3: Cross multiply
    30,921.96x = 42,672.02 × 16,774.76
  4. Step 4: Simplify right side
    30,921.96x = 715,812,894.22
  5. Step 5: Solve for x
    x = 715,812,894.22/30,921.96
  6. Step 6: Final answer
    x = 23,149.01

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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.