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Finding the Fourth Proportional to 21,005.86, 28,987.82 and 11,446.15

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Solution

The fourth proportional to 21,005.86, 28,987.82 and 11,446.15 is: 15,795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,005.86 : 28,987.82 = 11,446.15 : x
  2. Step 2: Convert to fraction form
    21,005.86/28,987.82 = 11,446.15/x
  3. Step 3: Cross multiply
    21,005.86x = 28,987.82 × 11,446.15
  4. Step 4: Simplify right side
    21,005.86x = 331,798,935.89
  5. Step 5: Solve for x
    x = 331,798,935.89/21,005.86
  6. Step 6: Final answer
    x = 15,795.54

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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.