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Finding the Fourth Proportional to 12,661.88, 18,973.20 and 9,538.52

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Solution

The fourth proportional to 12,661.88, 18,973.20 and 9,538.52 is: 14,293.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.88 : 18,973.20 = 9,538.52 : x
  2. Step 2: Convert to fraction form
    12,661.88/18,973.20 = 9,538.52/x
  3. Step 3: Cross multiply
    12,661.88x = 18,973.20 × 9,538.52
  4. Step 4: Simplify right side
    12,661.88x = 180,976,247.66
  5. Step 5: Solve for x
    x = 180,976,247.66/12,661.88
  6. Step 6: Final answer
    x = 14,293.00

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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.