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Finding the Fourth Proportional to 16,265.34, 22,444.83 and 9,193.50

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Solution

The fourth proportional to 16,265.34, 22,444.83 and 9,193.50 is: 12,686.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,265.34 : 22,444.83 = 9,193.50 : x
  2. Step 2: Convert to fraction form
    16,265.34/22,444.83 = 9,193.50/x
  3. Step 3: Cross multiply
    16,265.34x = 22,444.83 × 9,193.50
  4. Step 4: Simplify right side
    16,265.34x = 206,346,544.61
  5. Step 5: Solve for x
    x = 206,346,544.61/16,265.34
  6. Step 6: Final answer
    x = 12,686.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.