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Finding the Fourth Proportional to 27,009.60, 40,509.51 and 7,283.52

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Solution

The fourth proportional to 27,009.60, 40,509.51 and 7,283.52 is: 10,923.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,009.60 : 40,509.51 = 7,283.52 : x
  2. Step 2: Convert to fraction form
    27,009.60/40,509.51 = 7,283.52/x
  3. Step 3: Cross multiply
    27,009.60x = 40,509.51 × 7,283.52
  4. Step 4: Simplify right side
    27,009.60x = 295,051,826.28
  5. Step 5: Solve for x
    x = 295,051,826.28/27,009.60
  6. Step 6: Final answer
    x = 10,923.96

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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.