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Finding the Fourth Proportional to 27,870.86, 41,813.58 and 16,172.84

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Solution

The fourth proportional to 27,870.86, 41,813.58 and 16,172.84 is: 24,263.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,870.86 : 41,813.58 = 16,172.84 : x
  2. Step 2: Convert to fraction form
    27,870.86/41,813.58 = 16,172.84/x
  3. Step 3: Cross multiply
    27,870.86x = 41,813.58 × 16,172.84
  4. Step 4: Simplify right side
    27,870.86x = 676,244,339.17
  5. Step 5: Solve for x
    x = 676,244,339.17/27,870.86
  6. Step 6: Final answer
    x = 24,263.49

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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.