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Finding the Fourth Proportional to 14,697.69, 20,277.81 and 9,661.51

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Solution

The fourth proportional to 14,697.69, 20,277.81 and 9,661.51 is: 13,329.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.69 : 20,277.81 = 9,661.51 : x
  2. Step 2: Convert to fraction form
    14,697.69/20,277.81 = 9,661.51/x
  3. Step 3: Cross multiply
    14,697.69x = 20,277.81 × 9,661.51
  4. Step 4: Simplify right side
    14,697.69x = 195,914,264.09
  5. Step 5: Solve for x
    x = 195,914,264.09/14,697.69
  6. Step 6: Final answer
    x = 13,329.60

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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.