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Finding the Fourth Proportional to 13,478.18, 18,598.85 and 7,735.68

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Solution

The fourth proportional to 13,478.18, 18,598.85 and 7,735.68 is: 10,674.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.18 : 18,598.85 = 7,735.68 : x
  2. Step 2: Convert to fraction form
    13,478.18/18,598.85 = 7,735.68/x
  3. Step 3: Cross multiply
    13,478.18x = 18,598.85 × 7,735.68
  4. Step 4: Simplify right side
    13,478.18x = 143,874,713.29
  5. Step 5: Solve for x
    x = 143,874,713.29/13,478.18
  6. Step 6: Final answer
    x = 10,674.64

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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.