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Finding the Fourth Proportional to 21,610, 32,420.47 and 6,027.63

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Solution

The fourth proportional to 21,610, 32,420.47 and 6,027.63 is: 9,042.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,610 : 32,420.47 = 6,027.63 : x
  2. Step 2: Convert to fraction form
    21,610/32,420.47 = 6,027.63/x
  3. Step 3: Cross multiply
    21,610x = 32,420.47 × 6,027.63
  4. Step 4: Simplify right side
    21,610x = 195,418,597.59
  5. Step 5: Solve for x
    x = 195,418,597.59/21,610
  6. Step 6: Final answer
    x = 9,042.97

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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.