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Finding the Fourth Proportional to 15,461.36, 23,189.36 and 7,140.68

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Solution

The fourth proportional to 15,461.36, 23,189.36 and 7,140.68 is: 10,709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,461.36 : 23,189.36 = 7,140.68 : x
  2. Step 2: Convert to fraction form
    15,461.36/23,189.36 = 7,140.68/x
  3. Step 3: Cross multiply
    15,461.36x = 23,189.36 × 7,140.68
  4. Step 4: Simplify right side
    15,461.36x = 165,587,799.16
  5. Step 5: Solve for x
    x = 165,587,799.16/15,461.36
  6. Step 6: Final answer
    x = 10,709.78

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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.