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Finding the Fourth Proportional to 24,354.08, 36,530.72 and 7,714.08

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Solution

The fourth proportional to 24,354.08, 36,530.72 and 7,714.08 is: 11,570.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,354.08 : 36,530.72 = 7,714.08 : x
  2. Step 2: Convert to fraction form
    24,354.08/36,530.72 = 7,714.08/x
  3. Step 3: Cross multiply
    24,354.08x = 36,530.72 × 7,714.08
  4. Step 4: Simplify right side
    24,354.08x = 281,800,886.90
  5. Step 5: Solve for x
    x = 281,800,886.90/24,354.08
  6. Step 6: Final answer
    x = 11,570.99

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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.