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Finding the Fourth Proportional to 20,312.53, 30,465.06 and 9,216.55

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Solution

The fourth proportional to 20,312.53, 30,465.06 and 9,216.55 is: 13,823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,312.53 : 30,465.06 = 9,216.55 : x
  2. Step 2: Convert to fraction form
    20,312.53/30,465.06 = 9,216.55/x
  3. Step 3: Cross multiply
    20,312.53x = 30,465.06 × 9,216.55
  4. Step 4: Simplify right side
    20,312.53x = 280,782,748.74
  5. Step 5: Solve for x
    x = 280,782,748.74/20,312.53
  6. Step 6: Final answer
    x = 13,823.13

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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.