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Finding the Fourth Proportional to 13,465.41, 18,584.01 and 7,725.11

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Solution

The fourth proportional to 13,465.41, 18,584.01 and 7,725.11 is: 10,661.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.41 : 18,584.01 = 7,725.11 : x
  2. Step 2: Convert to fraction form
    13,465.41/18,584.01 = 7,725.11/x
  3. Step 3: Cross multiply
    13,465.41x = 18,584.01 × 7,725.11
  4. Step 4: Simplify right side
    13,465.41x = 143,563,428.57
  5. Step 5: Solve for x
    x = 143,563,428.57/13,465.41
  6. Step 6: Final answer
    x = 10,661.65

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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.