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Finding the Fourth Proportional to 18,464.68, 25,461.86 and 12,169

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Solution

The fourth proportional to 18,464.68, 25,461.86 and 12,169 is: 16,780.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,464.68 : 25,461.86 = 12,169 : x
  2. Step 2: Convert to fraction form
    18,464.68/25,461.86 = 12,169/x
  3. Step 3: Cross multiply
    18,464.68x = 25,461.86 × 12,169
  4. Step 4: Simplify right side
    18,464.68x = 309,845,374.34
  5. Step 5: Solve for x
    x = 309,845,374.34/18,464.68
  6. Step 6: Final answer
    x = 16,780.44

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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.