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Finding the Fourth Proportional to 30,575.52, 42,191.76 and 16,964

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Solution

The fourth proportional to 30,575.52, 42,191.76 and 16,964 is: 23,408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,575.52 : 42,191.76 = 16,964 : x
  2. Step 2: Convert to fraction form
    30,575.52/42,191.76 = 16,964/x
  3. Step 3: Cross multiply
    30,575.52x = 42,191.76 × 16,964
  4. Step 4: Simplify right side
    30,575.52x = 715,741,016.64
  5. Step 5: Solve for x
    x = 715,741,016.64/30,575.52
  6. Step 6: Final answer
    x = 23,408.96

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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.