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Finding the Fourth Proportional to 24,374.51, 36,567.17 and 7,735.49

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Solution

The fourth proportional to 24,374.51, 36,567.17 and 7,735.49 is: 11,604.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,374.51 : 36,567.17 = 7,735.49 : x
  2. Step 2: Convert to fraction form
    24,374.51/36,567.17 = 7,735.49/x
  3. Step 3: Cross multiply
    24,374.51x = 36,567.17 × 7,735.49
  4. Step 4: Simplify right side
    24,374.51x = 282,864,939.19
  5. Step 5: Solve for x
    x = 282,864,939.19/24,374.51
  6. Step 6: Final answer
    x = 11,604.95

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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.