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Finding the Fourth Proportional to 23,514.24, 35,277 and 7,720.20

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Solution

The fourth proportional to 23,514.24, 35,277 and 7,720.20 is: 11,582.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,514.24 : 35,277 = 7,720.20 : x
  2. Step 2: Convert to fraction form
    23,514.24/35,277 = 7,720.20/x
  3. Step 3: Cross multiply
    23,514.24x = 35,277 × 7,720.20
  4. Step 4: Simplify right side
    23,514.24x = 272,345,495.40
  5. Step 5: Solve for x
    x = 272,345,495.40/23,514.24
  6. Step 6: Final answer
    x = 11,582.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.