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Finding the Fourth Proportional to 13,610.74, 18,782.90 and 7,642.48

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Solution

The fourth proportional to 13,610.74, 18,782.90 and 7,642.48 is: 10,546.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,610.74 : 18,782.90 = 7,642.48 : x
  2. Step 2: Convert to fraction form
    13,610.74/18,782.90 = 7,642.48/x
  3. Step 3: Cross multiply
    13,610.74x = 18,782.90 × 7,642.48
  4. Step 4: Simplify right side
    13,610.74x = 143,547,937.59
  5. Step 5: Solve for x
    x = 143,547,937.59/13,610.74
  6. Step 6: Final answer
    x = 10,546.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.