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Finding the Fourth Proportional to 20,775.76, 31,145.14 and 7,625.08

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Solution

The fourth proportional to 20,775.76, 31,145.14 and 7,625.08 is: 11,430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,775.76 : 31,145.14 = 7,625.08 : x
  2. Step 2: Convert to fraction form
    20,775.76/31,145.14 = 7,625.08/x
  3. Step 3: Cross multiply
    20,775.76x = 31,145.14 × 7,625.08
  4. Step 4: Simplify right side
    20,775.76x = 237,484,184.11
  5. Step 5: Solve for x
    x = 237,484,184.11/20,775.76
  6. Step 6: Final answer
    x = 11,430.83

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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.