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Finding the Fourth Proportional to 16,503.76, 22,776.84 and 9,431.24

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Solution

The fourth proportional to 16,503.76, 22,776.84 and 9,431.24 is: 13,016.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,503.76 : 22,776.84 = 9,431.24 : x
  2. Step 2: Convert to fraction form
    16,503.76/22,776.84 = 9,431.24/x
  3. Step 3: Cross multiply
    16,503.76x = 22,776.84 × 9,431.24
  4. Step 4: Simplify right side
    16,503.76x = 214,813,844.48
  5. Step 5: Solve for x
    x = 214,813,844.48/16,503.76
  6. Step 6: Final answer
    x = 13,016.05

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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.