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Finding the Fourth Proportional to 27,025.24, 40,535.86 and 9,495.24

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Solution

The fourth proportional to 27,025.24, 40,535.86 and 9,495.24 is: 14,242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,025.24 : 40,535.86 = 9,495.24 : x
  2. Step 2: Convert to fraction form
    27,025.24/40,535.86 = 9,495.24/x
  3. Step 3: Cross multiply
    27,025.24x = 40,535.86 × 9,495.24
  4. Step 4: Simplify right side
    27,025.24x = 384,897,719.31
  5. Step 5: Solve for x
    x = 384,897,719.31/27,025.24
  6. Step 6: Final answer
    x = 14,242.16

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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.