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Finding the Fourth Proportional to 19,774.51, 27,288 and 11,821.12

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Solution

The fourth proportional to 19,774.51, 27,288 and 11,821.12 is: 16,312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.51 : 27,288 = 11,821.12 : x
  2. Step 2: Convert to fraction form
    19,774.51/27,288 = 11,821.12/x
  3. Step 3: Cross multiply
    19,774.51x = 27,288 × 11,821.12
  4. Step 4: Simplify right side
    19,774.51x = 322,574,722.56
  5. Step 5: Solve for x
    x = 322,574,722.56/19,774.51
  6. Step 6: Final answer
    x = 16,312.65

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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.