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Finding the Fourth Proportional to 16,478.50, 22,740.70 and 9,405.58

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Solution

The fourth proportional to 16,478.50, 22,740.70 and 9,405.58 is: 12,979.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478.50 : 22,740.70 = 9,405.58 : x
  2. Step 2: Convert to fraction form
    16,478.50/22,740.70 = 9,405.58/x
  3. Step 3: Cross multiply
    16,478.50x = 22,740.70 × 9,405.58
  4. Step 4: Simplify right side
    16,478.50x = 213,889,473.11
  5. Step 5: Solve for x
    x = 213,889,473.11/16,478.50
  6. Step 6: Final answer
    x = 12,979.91

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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.