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Finding the Fourth Proportional to 12,302.88, 18,416.04 and 11,909.22

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Solution

The fourth proportional to 12,302.88, 18,416.04 and 11,909.22 is: 17,826.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.88 : 18,416.04 = 11,909.22 : x
  2. Step 2: Convert to fraction form
    12,302.88/18,416.04 = 11,909.22/x
  3. Step 3: Cross multiply
    12,302.88x = 18,416.04 × 11,909.22
  4. Step 4: Simplify right side
    12,302.88x = 219,320,671.89
  5. Step 5: Solve for x
    x = 219,320,671.89/12,302.88
  6. Step 6: Final answer
    x = 17,826.77

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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.