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Finding the Fourth Proportional to 16,394.80, 24,598.41 and 9,825.70

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Solution

The fourth proportional to 16,394.80, 24,598.41 and 9,825.70 is: 14,742.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,394.80 : 24,598.41 = 9,825.70 : x
  2. Step 2: Convert to fraction form
    16,394.80/24,598.41 = 9,825.70/x
  3. Step 3: Cross multiply
    16,394.80x = 24,598.41 × 9,825.70
  4. Step 4: Simplify right side
    16,394.80x = 241,696,597.14
  5. Step 5: Solve for x
    x = 241,696,597.14/16,394.80
  6. Step 6: Final answer
    x = 14,742.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.