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Finding the Fourth Proportional to 23,580.30, 35,373.96 and 7,787.00

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Solution

The fourth proportional to 23,580.30, 35,373.96 and 7,787.00 is: 11,681.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,580.30 : 35,373.96 = 7,787.00 : x
  2. Step 2: Convert to fraction form
    23,580.30/35,373.96 = 7,787.00/x
  3. Step 3: Cross multiply
    23,580.30x = 35,373.96 × 7,787.00
  4. Step 4: Simplify right side
    23,580.30x = 275,456,849.65
  5. Step 5: Solve for x
    x = 275,456,849.65/23,580.30
  6. Step 6: Final answer
    x = 11,681.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.