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Finding the Fourth Proportional to 21,281.68, 31,890.12 and 10,173.10

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Solution

The fourth proportional to 21,281.68, 31,890.12 and 10,173.10 is: 15,244.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,281.68 : 31,890.12 = 10,173.10 : x
  2. Step 2: Convert to fraction form
    21,281.68/31,890.12 = 10,173.10/x
  3. Step 3: Cross multiply
    21,281.68x = 31,890.12 × 10,173.10
  4. Step 4: Simplify right side
    21,281.68x = 324,421,379.77
  5. Step 5: Solve for x
    x = 324,421,379.77/21,281.68
  6. Step 6: Final answer
    x = 15,244.16

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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.