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Finding the Fourth Proportional to 29,628.72, 44,436.50 and 8,564.16

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Solution

The fourth proportional to 29,628.72, 44,436.50 and 8,564.16 is: 12,844.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,628.72 : 44,436.50 = 8,564.16 : x
  2. Step 2: Convert to fraction form
    29,628.72/44,436.50 = 8,564.16/x
  3. Step 3: Cross multiply
    29,628.72x = 44,436.50 × 8,564.16
  4. Step 4: Simplify right side
    29,628.72x = 380,561,253.02
  5. Step 5: Solve for x
    x = 380,561,253.02/29,628.72
  6. Step 6: Final answer
    x = 12,844.34

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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.