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Finding the Fourth Proportional to 20,763.12, 31,146.05 and 7,624.72

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Solution

The fourth proportional to 20,763.12, 31,146.05 and 7,624.72 is: 11,437.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,763.12 : 31,146.05 = 7,624.72 : x
  2. Step 2: Convert to fraction form
    20,763.12/31,146.05 = 7,624.72/x
  3. Step 3: Cross multiply
    20,763.12x = 31,146.05 × 7,624.72
  4. Step 4: Simplify right side
    20,763.12x = 237,479,968.35
  5. Step 5: Solve for x
    x = 237,479,968.35/20,763.12
  6. Step 6: Final answer
    x = 11,437.58

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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.