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Finding the Fourth Proportional to 20,547.69, 30,823.32 and 5,756.79

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Solution

The fourth proportional to 20,547.69, 30,823.32 and 5,756.79 is: 8,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,547.69 : 30,823.32 = 5,756.79 : x
  2. Step 2: Convert to fraction form
    20,547.69/30,823.32 = 5,756.79/x
  3. Step 3: Cross multiply
    20,547.69x = 30,823.32 × 5,756.79
  4. Step 4: Simplify right side
    20,547.69x = 177,443,380.34
  5. Step 5: Solve for x
    x = 177,443,380.34/20,547.69
  6. Step 6: Final answer
    x = 8,635.69

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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.