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Finding the Fourth Proportional to 23,175.67, 32,005.08 and 19,798.78

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Solution

The fourth proportional to 23,175.67, 32,005.08 and 19,798.78 is: 27,341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,175.67 : 32,005.08 = 19,798.78 : x
  2. Step 2: Convert to fraction form
    23,175.67/32,005.08 = 19,798.78/x
  3. Step 3: Cross multiply
    23,175.67x = 32,005.08 × 19,798.78
  4. Step 4: Simplify right side
    23,175.67x = 633,661,537.80
  5. Step 5: Solve for x
    x = 633,661,537.80/23,175.67
  6. Step 6: Final answer
    x = 27,341.67

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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.