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Finding the Fourth Proportional to 15,527.69, 23,292.04 and 3,840.91

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Solution

The fourth proportional to 15,527.69, 23,292.04 and 3,840.91 is: 5,761.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,527.69 : 23,292.04 = 3,840.91 : x
  2. Step 2: Convert to fraction form
    15,527.69/23,292.04 = 3,840.91/x
  3. Step 3: Cross multiply
    15,527.69x = 23,292.04 × 3,840.91
  4. Step 4: Simplify right side
    15,527.69x = 89,462,629.36
  5. Step 5: Solve for x
    x = 89,462,629.36/15,527.69
  6. Step 6: Final answer
    x = 5,761.49

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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.