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Finding the Fourth Proportional to 21,187.94, 31,794.07 and 7,870.19

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Solution

The fourth proportional to 21,187.94, 31,794.07 and 7,870.19 is: 11,809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,187.94 : 31,794.07 = 7,870.19 : x
  2. Step 2: Convert to fraction form
    21,187.94/31,794.07 = 7,870.19/x
  3. Step 3: Cross multiply
    21,187.94x = 31,794.07 × 7,870.19
  4. Step 4: Simplify right side
    21,187.94x = 250,225,431.58
  5. Step 5: Solve for x
    x = 250,225,431.58/21,187.94
  6. Step 6: Final answer
    x = 11,809.80

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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.