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Finding the Fourth Proportional to 15,585.80, 23,364.79 and 6,813.77

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Solution

The fourth proportional to 15,585.80, 23,364.79 and 6,813.77 is: 10,214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,585.80 : 23,364.79 = 6,813.77 : x
  2. Step 2: Convert to fraction form
    15,585.80/23,364.79 = 6,813.77/x
  3. Step 3: Cross multiply
    15,585.80x = 23,364.79 × 6,813.77
  4. Step 4: Simplify right side
    15,585.80x = 159,202,305.16
  5. Step 5: Solve for x
    x = 159,202,305.16/15,585.80
  6. Step 6: Final answer
    x = 10,214.57

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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.