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Finding the Fourth Proportional to 21,775.71, 32,661.81 and 6,980.67

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Solution

The fourth proportional to 21,775.71, 32,661.81 and 6,980.67 is: 10,470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,775.71 : 32,661.81 = 6,980.67 : x
  2. Step 2: Convert to fraction form
    21,775.71/32,661.81 = 6,980.67/x
  3. Step 3: Cross multiply
    21,775.71x = 32,661.81 × 6,980.67
  4. Step 4: Simplify right side
    21,775.71x = 228,001,317.21
  5. Step 5: Solve for x
    x = 228,001,317.21/21,775.71
  6. Step 6: Final answer
    x = 10,470.44

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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.