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Finding the Fourth Proportional to 23,780.64, 35,670.96 and 11,460

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Solution

The fourth proportional to 23,780.64, 35,670.96 and 11,460 is: 17,190

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,780.64 : 35,670.96 = 11,460 : x
  2. Step 2: Convert to fraction form
    23,780.64/35,670.96 = 11,460/x
  3. Step 3: Cross multiply
    23,780.64x = 35,670.96 × 11,460
  4. Step 4: Simplify right side
    23,780.64x = 408,789,201.60
  5. Step 5: Solve for x
    x = 408,789,201.60/23,780.64
  6. Step 6: Final answer
    x = 17,190

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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.