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Finding the Fourth Proportional to 23,700.64, 35,553.84 and 11,380

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Solution

The fourth proportional to 23,700.64, 35,553.84 and 11,380 is: 17,071.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,700.64 : 35,553.84 = 11,380 : x
  2. Step 2: Convert to fraction form
    23,700.64/35,553.84 = 11,380/x
  3. Step 3: Cross multiply
    23,700.64x = 35,553.84 × 11,380
  4. Step 4: Simplify right side
    23,700.64x = 404,602,699.20
  5. Step 5: Solve for x
    x = 404,602,699.20/23,700.64
  6. Step 6: Final answer
    x = 17,071.38

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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.