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Finding the Fourth Proportional to 27,671.80, 41,509.00 and 8,953.30

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Solution

The fourth proportional to 27,671.80, 41,509.00 and 8,953.30 is: 13,430.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,671.80 : 41,509.00 = 8,953.30 : x
  2. Step 2: Convert to fraction form
    27,671.80/41,509.00 = 8,953.30/x
  3. Step 3: Cross multiply
    27,671.80x = 41,509.00 × 8,953.30
  4. Step 4: Simplify right side
    27,671.80x = 371,642,548.01
  5. Step 5: Solve for x
    x = 371,642,548.01/27,671.80
  6. Step 6: Final answer
    x = 13,430.37

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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.