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Finding the Fourth Proportional to 27,776.66, 38,334.87 and 15,842.93

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Solution

The fourth proportional to 27,776.66, 38,334.87 and 15,842.93 is: 21,865.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,776.66 : 38,334.87 = 15,842.93 : x
  2. Step 2: Convert to fraction form
    27,776.66/38,334.87 = 15,842.93/x
  3. Step 3: Cross multiply
    27,776.66x = 38,334.87 × 15,842.93
  4. Step 4: Simplify right side
    27,776.66x = 607,336,470.29
  5. Step 5: Solve for x
    x = 607,336,470.29/27,776.66
  6. Step 6: Final answer
    x = 21,865.00

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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.