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Finding the Fourth Proportional to 21,154.46, 31,697.07 and 12,809.20

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Solution

The fourth proportional to 21,154.46, 31,697.07 and 12,809.20 is: 19,192.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,154.46 : 31,697.07 = 12,809.20 : x
  2. Step 2: Convert to fraction form
    21,154.46/31,697.07 = 12,809.20/x
  3. Step 3: Cross multiply
    21,154.46x = 31,697.07 × 12,809.20
  4. Step 4: Simplify right side
    21,154.46x = 406,014,109.04
  5. Step 5: Solve for x
    x = 406,014,109.04/21,154.46
  6. Step 6: Final answer
    x = 19,192.84

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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.