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Finding the Fourth Proportional to 21,000.28, 31,478.82 and 9,319

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Solution

The fourth proportional to 21,000.28, 31,478.82 and 9,319 is: 13,968.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.28 : 31,478.82 = 9,319 : x
  2. Step 2: Convert to fraction form
    21,000.28/31,478.82 = 9,319/x
  3. Step 3: Cross multiply
    21,000.28x = 31,478.82 × 9,319
  4. Step 4: Simplify right side
    21,000.28x = 293,351,123.58
  5. Step 5: Solve for x
    x = 293,351,123.58/21,000.28
  6. Step 6: Final answer
    x = 13,968.91

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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.