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Finding the Fourth Proportional to 21,188.81, 31,773.10 and 7,852.65

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Solution

The fourth proportional to 21,188.81, 31,773.10 and 7,852.65 is: 11,775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,188.81 : 31,773.10 = 7,852.65 : x
  2. Step 2: Convert to fraction form
    21,188.81/31,773.10 = 7,852.65/x
  3. Step 3: Cross multiply
    21,188.81x = 31,773.10 × 7,852.65
  4. Step 4: Simplify right side
    21,188.81x = 249,503,033.72
  5. Step 5: Solve for x
    x = 249,503,033.72/21,188.81
  6. Step 6: Final answer
    x = 11,775.23

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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.