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Finding the Fourth Proportional to 16,283.58, 24,401.45 and 7,266.76

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Solution

The fourth proportional to 16,283.58, 24,401.45 and 7,266.76 is: 10,889.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.58 : 24,401.45 = 7,266.76 : x
  2. Step 2: Convert to fraction form
    16,283.58/24,401.45 = 7,266.76/x
  3. Step 3: Cross multiply
    16,283.58x = 24,401.45 × 7,266.76
  4. Step 4: Simplify right side
    16,283.58x = 177,319,575.22
  5. Step 5: Solve for x
    x = 177,319,575.22/16,283.58
  6. Step 6: Final answer
    x = 10,889.47

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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.