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Finding the Fourth Proportional to 24,308, 36,465.52 and 7,662.40

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Solution

The fourth proportional to 24,308, 36,465.52 and 7,662.40 is: 11,494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,308 : 36,465.52 = 7,662.40 : x
  2. Step 2: Convert to fraction form
    24,308/36,465.52 = 7,662.40/x
  3. Step 3: Cross multiply
    24,308x = 36,465.52 × 7,662.40
  4. Step 4: Simplify right side
    24,308x = 279,413,400.45
  5. Step 5: Solve for x
    x = 279,413,400.45/24,308
  6. Step 6: Final answer
    x = 11,494.71

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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.