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Finding the Fourth Proportional to 21,505.10, 29,678.54 and 13,007.59

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Solution

The fourth proportional to 21,505.10, 29,678.54 and 13,007.59 is: 17,951.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,505.10 : 29,678.54 = 13,007.59 : x
  2. Step 2: Convert to fraction form
    21,505.10/29,678.54 = 13,007.59/x
  3. Step 3: Cross multiply
    21,505.10x = 29,678.54 × 13,007.59
  4. Step 4: Simplify right side
    21,505.10x = 386,046,140.88
  5. Step 5: Solve for x
    x = 386,046,140.88/21,505.10
  6. Step 6: Final answer
    x = 17,951.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.