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Finding the Fourth Proportional to 21,185.68, 31,783.92 and 12,428.32

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Solution

The fourth proportional to 21,185.68, 31,783.92 and 12,428.32 is: 18,645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,185.68 : 31,783.92 = 12,428.32 : x
  2. Step 2: Convert to fraction form
    21,185.68/31,783.92 = 12,428.32/x
  3. Step 3: Cross multiply
    21,185.68x = 31,783.92 × 12,428.32
  4. Step 4: Simplify right side
    21,185.68x = 395,020,728.61
  5. Step 5: Solve for x
    x = 395,020,728.61/21,185.68
  6. Step 6: Final answer
    x = 18,645.65

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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.