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Finding the Fourth Proportional to 14,661.76, 20,228.16 and 9,685.12

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Solution

The fourth proportional to 14,661.76, 20,228.16 and 9,685.12 is: 13,362.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,661.76 : 20,228.16 = 9,685.12 : x
  2. Step 2: Convert to fraction form
    14,661.76/20,228.16 = 9,685.12/x
  3. Step 3: Cross multiply
    14,661.76x = 20,228.16 × 9,685.12
  4. Step 4: Simplify right side
    14,661.76x = 195,912,156.98
  5. Step 5: Solve for x
    x = 195,912,156.98/14,661.76
  6. Step 6: Final answer
    x = 13,362.12

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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.