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Finding the Fourth Proportional to 21,303.77, 31,954.50 and 6,512.69

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Solution

The fourth proportional to 21,303.77, 31,954.50 and 6,512.69 is: 9,768.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,303.77 : 31,954.50 = 6,512.69 : x
  2. Step 2: Convert to fraction form
    21,303.77/31,954.50 = 6,512.69/x
  3. Step 3: Cross multiply
    21,303.77x = 31,954.50 × 6,512.69
  4. Step 4: Simplify right side
    21,303.77x = 208,109,592.83
  5. Step 5: Solve for x
    x = 208,109,592.83/21,303.77
  6. Step 6: Final answer
    x = 9,768.67

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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.