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Finding the Fourth Proportional to 23,006.28, 34,503.72 and 9,857.16

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Solution

The fourth proportional to 23,006.28, 34,503.72 and 9,857.16 is: 14,783.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,006.28 : 34,503.72 = 9,857.16 : x
  2. Step 2: Convert to fraction form
    23,006.28/34,503.72 = 9,857.16/x
  3. Step 3: Cross multiply
    23,006.28x = 34,503.72 × 9,857.16
  4. Step 4: Simplify right side
    23,006.28x = 340,108,688.64
  5. Step 5: Solve for x
    x = 340,108,688.64/23,006.28
  6. Step 6: Final answer
    x = 14,783.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.