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Finding the Fourth Proportional to 21,918.84, 32,870.17 and 7,875.09

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Solution

The fourth proportional to 21,918.84, 32,870.17 and 7,875.09 is: 11,809.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,918.84 : 32,870.17 = 7,875.09 : x
  2. Step 2: Convert to fraction form
    21,918.84/32,870.17 = 7,875.09/x
  3. Step 3: Cross multiply
    21,918.84x = 32,870.17 × 7,875.09
  4. Step 4: Simplify right side
    21,918.84x = 258,855,556.91
  5. Step 5: Solve for x
    x = 258,855,556.91/21,918.84
  6. Step 6: Final answer
    x = 11,809.73

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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.