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Finding the Fourth Proportional to 27,969.38, 41,970.51 and 10,440.58

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Solution

The fourth proportional to 27,969.38, 41,970.51 and 10,440.58 is: 15,667.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,969.38 : 41,970.51 = 10,440.58 : x
  2. Step 2: Convert to fraction form
    27,969.38/41,970.51 = 10,440.58/x
  3. Step 3: Cross multiply
    27,969.38x = 41,970.51 × 10,440.58
  4. Step 4: Simplify right side
    27,969.38x = 438,196,362.37
  5. Step 5: Solve for x
    x = 438,196,362.37/27,969.38
  6. Step 6: Final answer
    x = 15,667.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.