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Finding the Fourth Proportional to 21,971.52, 32,961.52 and 7,176.46

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Solution

The fourth proportional to 21,971.52, 32,961.52 and 7,176.46 is: 10,766.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,971.52 : 32,961.52 = 7,176.46 : x
  2. Step 2: Convert to fraction form
    21,971.52/32,961.52 = 7,176.46/x
  3. Step 3: Cross multiply
    21,971.52x = 32,961.52 × 7,176.46
  4. Step 4: Simplify right side
    21,971.52x = 236,547,029.82
  5. Step 5: Solve for x
    x = 236,547,029.82/21,971.52
  6. Step 6: Final answer
    x = 10,766.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.