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Finding the Fourth Proportional to 20,547, 30,822.93 and 6,696

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Solution

The fourth proportional to 20,547, 30,822.93 and 6,696 is: 10,044.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,547 : 30,822.93 = 6,696 : x
  2. Step 2: Convert to fraction form
    20,547/30,822.93 = 6,696/x
  3. Step 3: Cross multiply
    20,547x = 30,822.93 × 6,696
  4. Step 4: Simplify right side
    20,547x = 206,390,339.28
  5. Step 5: Solve for x
    x = 206,390,339.28/20,547
  6. Step 6: Final answer
    x = 10,044.79

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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.