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Finding the Fourth Proportional to 21,962.70, 30,278.40 and 13,892.34

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Solution

The fourth proportional to 21,962.70, 30,278.40 and 13,892.34 is: 19,152.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,962.70 : 30,278.40 = 13,892.34 : x
  2. Step 2: Convert to fraction form
    21,962.70/30,278.40 = 13,892.34/x
  3. Step 3: Cross multiply
    21,962.70x = 30,278.40 × 13,892.34
  4. Step 4: Simplify right side
    21,962.70x = 420,637,827.46
  5. Step 5: Solve for x
    x = 420,637,827.46/21,962.70
  6. Step 6: Final answer
    x = 19,152.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.