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Finding the Fourth Proportional to 13,354.68, 18,431.10 and 7,765.68

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Solution

The fourth proportional to 13,354.68, 18,431.10 and 7,765.68 is: 10,717.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,354.68 : 18,431.10 = 7,765.68 : x
  2. Step 2: Convert to fraction form
    13,354.68/18,431.10 = 7,765.68/x
  3. Step 3: Cross multiply
    13,354.68x = 18,431.10 × 7,765.68
  4. Step 4: Simplify right side
    13,354.68x = 143,130,024.65
  5. Step 5: Solve for x
    x = 143,130,024.65/13,354.68
  6. Step 6: Final answer
    x = 10,717.59

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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.