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Finding the Fourth Proportional to 23,671.49, 35,501.09 and 7,027.61

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Solution

The fourth proportional to 23,671.49, 35,501.09 and 7,027.61 is: 10,539.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,671.49 : 35,501.09 = 7,027.61 : x
  2. Step 2: Convert to fraction form
    23,671.49/35,501.09 = 7,027.61/x
  3. Step 3: Cross multiply
    23,671.49x = 35,501.09 × 7,027.61
  4. Step 4: Simplify right side
    23,671.49x = 249,487,602.45
  5. Step 5: Solve for x
    x = 249,487,602.45/23,671.49
  6. Step 6: Final answer
    x = 10,539.58

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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.