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Finding the Fourth Proportional to 27,946, 38,563.14 and 16,459.09

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Solution

The fourth proportional to 27,946, 38,563.14 and 16,459.09 is: 22,712.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,946 : 38,563.14 = 16,459.09 : x
  2. Step 2: Convert to fraction form
    27,946/38,563.14 = 16,459.09/x
  3. Step 3: Cross multiply
    27,946x = 38,563.14 × 16,459.09
  4. Step 4: Simplify right side
    27,946x = 634,714,191.94
  5. Step 5: Solve for x
    x = 634,714,191.94/27,946
  6. Step 6: Final answer
    x = 22,712.17

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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.