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Finding the Fourth Proportional to 30,924.64, 42,676 and 17,495.62

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Solution

The fourth proportional to 30,924.64, 42,676 and 17,495.62 is: 24,143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,924.64 : 42,676 = 17,495.62 : x
  2. Step 2: Convert to fraction form
    30,924.64/42,676 = 17,495.62/x
  3. Step 3: Cross multiply
    30,924.64x = 42,676 × 17,495.62
  4. Step 4: Simplify right side
    30,924.64x = 746,643,079.12
  5. Step 5: Solve for x
    x = 746,643,079.12/30,924.64
  6. Step 6: Final answer
    x = 24,143.95

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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.