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Finding the Fourth Proportional to 30,814.95, 42,524.55 and 16,667.82

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Solution

The fourth proportional to 30,814.95, 42,524.55 and 16,667.82 is: 23,001.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,814.95 : 42,524.55 = 16,667.82 : x
  2. Step 2: Convert to fraction form
    30,814.95/42,524.55 = 16,667.82/x
  3. Step 3: Cross multiply
    30,814.95x = 42,524.55 × 16,667.82
  4. Step 4: Simplify right side
    30,814.95x = 708,791,544.98
  5. Step 5: Solve for x
    x = 708,791,544.98/30,814.95
  6. Step 6: Final answer
    x = 23,001.55

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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.