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Finding the Fourth Proportional to 21,778, 30,056.36 and 12,946

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Solution

The fourth proportional to 21,778, 30,056.36 and 12,946 is: 17,867.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,778 : 30,056.36 = 12,946 : x
  2. Step 2: Convert to fraction form
    21,778/30,056.36 = 12,946/x
  3. Step 3: Cross multiply
    21,778x = 30,056.36 × 12,946
  4. Step 4: Simplify right side
    21,778x = 389,109,636.56
  5. Step 5: Solve for x
    x = 389,109,636.56/21,778
  6. Step 6: Final answer
    x = 17,867.10

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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.