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Finding the Fourth Proportional to 30,698.68, 42,361.98 and 17,269.24

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Solution

The fourth proportional to 30,698.68, 42,361.98 and 17,269.24 is: 23,830.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,698.68 : 42,361.98 = 17,269.24 : x
  2. Step 2: Convert to fraction form
    30,698.68/42,361.98 = 17,269.24/x
  3. Step 3: Cross multiply
    30,698.68x = 42,361.98 × 17,269.24
  4. Step 4: Simplify right side
    30,698.68x = 731,559,199.50
  5. Step 5: Solve for x
    x = 731,559,199.50/30,698.68
  6. Step 6: Final answer
    x = 23,830.31

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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.