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Finding the Fourth Proportional to 10,513.67, 15,738.18 and 9,018.99

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Solution

The fourth proportional to 10,513.67, 15,738.18 and 9,018.99 is: 13,500.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.67 : 15,738.18 = 9,018.99 : x
  2. Step 2: Convert to fraction form
    10,513.67/15,738.18 = 9,018.99/x
  3. Step 3: Cross multiply
    10,513.67x = 15,738.18 × 9,018.99
  4. Step 4: Simplify right side
    10,513.67x = 141,942,488.04
  5. Step 5: Solve for x
    x = 141,942,488.04/10,513.67
  6. Step 6: Final answer
    x = 13,500.76

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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.