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Finding the Fourth Proportional to 27,796.86, 38,364.09 and 15,864.06

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Solution

The fourth proportional to 27,796.86, 38,364.09 and 15,864.06 is: 21,894.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,796.86 : 38,364.09 = 15,864.06 : x
  2. Step 2: Convert to fraction form
    27,796.86/38,364.09 = 15,864.06/x
  3. Step 3: Cross multiply
    27,796.86x = 38,364.09 × 15,864.06
  4. Step 4: Simplify right side
    27,796.86x = 608,610,225.61
  5. Step 5: Solve for x
    x = 608,610,225.61/27,796.86
  6. Step 6: Final answer
    x = 21,894.93

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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.