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Finding the Fourth Proportional to 17,760.12, 24,509.78 and 10,208.89

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Solution

The fourth proportional to 17,760.12, 24,509.78 and 10,208.89 is: 14,088.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,760.12 : 24,509.78 = 10,208.89 : x
  2. Step 2: Convert to fraction form
    17,760.12/24,509.78 = 10,208.89/x
  3. Step 3: Cross multiply
    17,760.12x = 24,509.78 × 10,208.89
  4. Step 4: Simplify right side
    17,760.12x = 250,217,647.94
  5. Step 5: Solve for x
    x = 250,217,647.94/17,760.12
  6. Step 6: Final answer
    x = 14,088.74

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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.