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Finding the Fourth Proportional to 30,566.40, 42,184.08 and 17,993.60

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Solution

The fourth proportional to 30,566.40, 42,184.08 and 17,993.60 is: 24,832.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,566.40 : 42,184.08 = 17,993.60 : x
  2. Step 2: Convert to fraction form
    30,566.40/42,184.08 = 17,993.60/x
  3. Step 3: Cross multiply
    30,566.40x = 42,184.08 × 17,993.60
  4. Step 4: Simplify right side
    30,566.40x = 759,043,461.89
  5. Step 5: Solve for x
    x = 759,043,461.89/30,566.40
  6. Step 6: Final answer
    x = 24,832.61

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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.