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Finding the Fourth Proportional to 18,356.15, 27,535.14 and 7,827.57

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Solution

The fourth proportional to 18,356.15, 27,535.14 and 7,827.57 is: 11,741.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,356.15 : 27,535.14 = 7,827.57 : x
  2. Step 2: Convert to fraction form
    18,356.15/27,535.14 = 7,827.57/x
  3. Step 3: Cross multiply
    18,356.15x = 27,535.14 × 7,827.57
  4. Step 4: Simplify right side
    18,356.15x = 215,533,235.81
  5. Step 5: Solve for x
    x = 215,533,235.81/18,356.15
  6. Step 6: Final answer
    x = 11,741.74

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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.