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Finding the Fourth Proportional to 20,483.17, 30,723.98 and 8,475

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Solution

The fourth proportional to 20,483.17, 30,723.98 and 8,475 is: 12,712.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,483.17 : 30,723.98 = 8,475 : x
  2. Step 2: Convert to fraction form
    20,483.17/30,723.98 = 8,475/x
  3. Step 3: Cross multiply
    20,483.17x = 30,723.98 × 8,475
  4. Step 4: Simplify right side
    20,483.17x = 260,385,719.91
  5. Step 5: Solve for x
    x = 260,385,719.91/20,483.17
  6. Step 6: Final answer
    x = 12,712.18

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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.