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Finding the Fourth Proportional to 30,858, 42,584.26 and 16,710.86

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Solution

The fourth proportional to 30,858, 42,584.26 and 16,710.86 is: 23,061.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,858 : 42,584.26 = 16,710.86 : x
  2. Step 2: Convert to fraction form
    30,858/42,584.26 = 16,710.86/x
  3. Step 3: Cross multiply
    30,858x = 42,584.26 × 16,710.86
  4. Step 4: Simplify right side
    30,858x = 711,619,607.06
  5. Step 5: Solve for x
    x = 711,619,607.06/30,858
  6. Step 6: Final answer
    x = 23,061.11

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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.