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Finding the Fourth Proportional to 10,338.40, 15,513 and 9,780.76

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Solution

The fourth proportional to 10,338.40, 15,513 and 9,780.76 is: 14,676.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.40 : 15,513 = 9,780.76 : x
  2. Step 2: Convert to fraction form
    10,338.40/15,513 = 9,780.76/x
  3. Step 3: Cross multiply
    10,338.40x = 15,513 × 9,780.76
  4. Step 4: Simplify right side
    10,338.40x = 151,728,929.88
  5. Step 5: Solve for x
    x = 151,728,929.88/10,338.40
  6. Step 6: Final answer
    x = 14,676.25

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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.