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Finding the Fourth Proportional to 20,570.10, 30,833.55 and 8,085.30

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Solution

The fourth proportional to 20,570.10, 30,833.55 and 8,085.30 is: 12,119.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,570.10 : 30,833.55 = 8,085.30 : x
  2. Step 2: Convert to fraction form
    20,570.10/30,833.55 = 8,085.30/x
  3. Step 3: Cross multiply
    20,570.10x = 30,833.55 × 8,085.30
  4. Step 4: Simplify right side
    20,570.10x = 249,298,501.82
  5. Step 5: Solve for x
    x = 249,298,501.82/20,570.10
  6. Step 6: Final answer
    x = 12,119.46

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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.