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Finding the Fourth Proportional to 16,478.47, 22,741.46 and 9,405.96

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Solution

The fourth proportional to 16,478.47, 22,741.46 and 9,405.96 is: 12,980.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478.47 : 22,741.46 = 9,405.96 : x
  2. Step 2: Convert to fraction form
    16,478.47/22,741.46 = 9,405.96/x
  3. Step 3: Cross multiply
    16,478.47x = 22,741.46 × 9,405.96
  4. Step 4: Simplify right side
    16,478.47x = 213,905,263.10
  5. Step 5: Solve for x
    x = 213,905,263.10/16,478.47
  6. Step 6: Final answer
    x = 12,980.89

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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.