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Finding the Fourth Proportional to 27,875.77, 38,470.46 and 15,776.26

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Solution

The fourth proportional to 27,875.77, 38,470.46 and 15,776.26 is: 21,772.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,875.77 : 38,470.46 = 15,776.26 : x
  2. Step 2: Convert to fraction form
    27,875.77/38,470.46 = 15,776.26/x
  3. Step 3: Cross multiply
    27,875.77x = 38,470.46 × 15,776.26
  4. Step 4: Simplify right side
    27,875.77x = 606,919,979.28
  5. Step 5: Solve for x
    x = 606,919,979.28/27,875.77
  6. Step 6: Final answer
    x = 21,772.31

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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.