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Finding the Fourth Proportional to 21,927.90, 32,897.31 and 6,345.54

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Solution

The fourth proportional to 21,927.90, 32,897.31 and 6,345.54 is: 9,519.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,927.90 : 32,897.31 = 6,345.54 : x
  2. Step 2: Convert to fraction form
    21,927.90/32,897.31 = 6,345.54/x
  3. Step 3: Cross multiply
    21,927.90x = 32,897.31 × 6,345.54
  4. Step 4: Simplify right side
    21,927.90x = 208,751,196.50
  5. Step 5: Solve for x
    x = 208,751,196.50/21,927.90
  6. Step 6: Final answer
    x = 9,519.89

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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.