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Finding the Fourth Proportional to 15,836.76, 23,762.04 and 7,522.65

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Solution

The fourth proportional to 15,836.76, 23,762.04 and 7,522.65 is: 11,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,836.76 : 23,762.04 = 7,522.65 : x
  2. Step 2: Convert to fraction form
    15,836.76/23,762.04 = 7,522.65/x
  3. Step 3: Cross multiply
    15,836.76x = 23,762.04 × 7,522.65
  4. Step 4: Simplify right side
    15,836.76x = 178,753,391.40
  5. Step 5: Solve for x
    x = 178,753,391.40/15,836.76
  6. Step 6: Final answer
    x = 11,287.25

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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.