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Finding the Fourth Proportional to 27,760.70, 38,312.80 and 17,698.34

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Solution

The fourth proportional to 27,760.70, 38,312.80 and 17,698.34 is: 24,425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,760.70 : 38,312.80 = 17,698.34 : x
  2. Step 2: Convert to fraction form
    27,760.70/38,312.80 = 17,698.34/x
  3. Step 3: Cross multiply
    27,760.70x = 38,312.80 × 17,698.34
  4. Step 4: Simplify right side
    27,760.70x = 678,072,960.75
  5. Step 5: Solve for x
    x = 678,072,960.75/27,760.70
  6. Step 6: Final answer
    x = 24,425.64

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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.