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Finding the Fourth Proportional to 19,920.84, 27,501.80 and 11,965

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Solution

The fourth proportional to 19,920.84, 27,501.80 and 11,965 is: 16,518.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,920.84 : 27,501.80 = 11,965 : x
  2. Step 2: Convert to fraction form
    19,920.84/27,501.80 = 11,965/x
  3. Step 3: Cross multiply
    19,920.84x = 27,501.80 × 11,965
  4. Step 4: Simplify right side
    19,920.84x = 329,059,037
  5. Step 5: Solve for x
    x = 329,059,037/19,920.84
  6. Step 6: Final answer
    x = 16,518.33

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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.