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Finding the Fourth Proportional to 24,357.34, 36,514.08 and 8,764

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Solution

The fourth proportional to 24,357.34, 36,514.08 and 8,764 is: 13,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,357.34 : 36,514.08 = 8,764 : x
  2. Step 2: Convert to fraction form
    24,357.34/36,514.08 = 8,764/x
  3. Step 3: Cross multiply
    24,357.34x = 36,514.08 × 8,764
  4. Step 4: Simplify right side
    24,357.34x = 320,009,397.12
  5. Step 5: Solve for x
    x = 320,009,397.12/24,357.34
  6. Step 6: Final answer
    x = 13,138.11

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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.