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Finding the Fourth Proportional to 21,383.49, 29,508.70 and 11,823.13

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Solution

The fourth proportional to 21,383.49, 29,508.70 and 11,823.13 is: 16,315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,383.49 : 29,508.70 = 11,823.13 : x
  2. Step 2: Convert to fraction form
    21,383.49/29,508.70 = 11,823.13/x
  3. Step 3: Cross multiply
    21,383.49x = 29,508.70 × 11,823.13
  4. Step 4: Simplify right side
    21,383.49x = 348,885,055.52
  5. Step 5: Solve for x
    x = 348,885,055.52/21,383.49
  6. Step 6: Final answer
    x = 16,315.63

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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.