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Finding the Fourth Proportional to 16,119.76, 22,245.84 and 9,409.68

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Solution

The fourth proportional to 16,119.76, 22,245.84 and 9,409.68 is: 12,985.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,119.76 : 22,245.84 = 9,409.68 : x
  2. Step 2: Convert to fraction form
    16,119.76/22,245.84 = 9,409.68/x
  3. Step 3: Cross multiply
    16,119.76x = 22,245.84 × 9,409.68
  4. Step 4: Simplify right side
    16,119.76x = 209,326,235.73
  5. Step 5: Solve for x
    x = 209,326,235.73/16,119.76
  6. Step 6: Final answer
    x = 12,985.69

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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.