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Finding the Fourth Proportional to 26,970.56, 40,455.84 and 8,504

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Solution

The fourth proportional to 26,970.56, 40,455.84 and 8,504 is: 12,756.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,970.56 : 40,455.84 = 8,504 : x
  2. Step 2: Convert to fraction form
    26,970.56/40,455.84 = 8,504/x
  3. Step 3: Cross multiply
    26,970.56x = 40,455.84 × 8,504
  4. Step 4: Simplify right side
    26,970.56x = 344,036,463.36
  5. Step 5: Solve for x
    x = 344,036,463.36/26,970.56
  6. Step 6: Final answer
    x = 12,756.00

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Why These Related Problems?

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