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Finding the Fourth Proportional to 17,958.84, 24,780.24 and 10,406.40

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Solution

The fourth proportional to 17,958.84, 24,780.24 and 10,406.40 is: 14,359.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,958.84 : 24,780.24 = 10,406.40 : x
  2. Step 2: Convert to fraction form
    17,958.84/24,780.24 = 10,406.40/x
  3. Step 3: Cross multiply
    17,958.84x = 24,780.24 × 10,406.40
  4. Step 4: Simplify right side
    17,958.84x = 257,873,089.54
  5. Step 5: Solve for x
    x = 257,873,089.54/17,958.84
  6. Step 6: Final answer
    x = 14,359.12

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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.