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Finding the Fourth Proportional to 27,852.40, 41,815.68 and 16,174

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Solution

The fourth proportional to 27,852.40, 41,815.68 and 16,174 is: 24,282.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,852.40 : 41,815.68 = 16,174 : x
  2. Step 2: Convert to fraction form
    27,852.40/41,815.68 = 16,174/x
  3. Step 3: Cross multiply
    27,852.40x = 41,815.68 × 16,174
  4. Step 4: Simplify right side
    27,852.40x = 676,326,808.32
  5. Step 5: Solve for x
    x = 676,326,808.32/27,852.40
  6. Step 6: Final answer
    x = 24,282.53

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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.