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Finding the Fourth Proportional to 23,585.09, 35,370.12 and 7,787.18

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Solution

The fourth proportional to 23,585.09, 35,370.12 and 7,787.18 is: 11,678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,585.09 : 35,370.12 = 7,787.18 : x
  2. Step 2: Convert to fraction form
    23,585.09/35,370.12 = 7,787.18/x
  3. Step 3: Cross multiply
    23,585.09x = 35,370.12 × 7,787.18
  4. Step 4: Simplify right side
    23,585.09x = 275,433,491.06
  5. Step 5: Solve for x
    x = 275,433,491.06/23,585.09
  6. Step 6: Final answer
    x = 11,678.29

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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.