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Finding the Fourth Proportional to 21,901.38, 32,852.67 and 6,319

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Solution

The fourth proportional to 21,901.38, 32,852.67 and 6,319 is: 9,478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,901.38 : 32,852.67 = 6,319 : x
  2. Step 2: Convert to fraction form
    21,901.38/32,852.67 = 6,319/x
  3. Step 3: Cross multiply
    21,901.38x = 32,852.67 × 6,319
  4. Step 4: Simplify right side
    21,901.38x = 207,596,021.73
  5. Step 5: Solve for x
    x = 207,596,021.73/21,901.38
  6. Step 6: Final answer
    x = 9,478.67

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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.