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Finding the Fourth Proportional to 21,874.01, 32,809.88 and 12,386.99

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Solution

The fourth proportional to 21,874.01, 32,809.88 and 12,386.99 is: 18,579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.01 : 32,809.88 = 12,386.99 : x
  2. Step 2: Convert to fraction form
    21,874.01/32,809.88 = 12,386.99/x
  3. Step 3: Cross multiply
    21,874.01x = 32,809.88 × 12,386.99
  4. Step 4: Simplify right side
    21,874.01x = 406,415,429.48
  5. Step 5: Solve for x
    x = 406,415,429.48/21,874.01
  6. Step 6: Final answer
    x = 18,579.84

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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.