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Finding the Fourth Proportional to 24,172, 36,258 and 8,590.24

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Solution

The fourth proportional to 24,172, 36,258 and 8,590.24 is: 12,885.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,172 : 36,258 = 8,590.24 : x
  2. Step 2: Convert to fraction form
    24,172/36,258 = 8,590.24/x
  3. Step 3: Cross multiply
    24,172x = 36,258 × 8,590.24
  4. Step 4: Simplify right side
    24,172x = 311,464,921.92
  5. Step 5: Solve for x
    x = 311,464,921.92/24,172
  6. Step 6: Final answer
    x = 12,885.36

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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.