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Finding the Fourth Proportional to 14,677.39, 22,018.72 and 6,886

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Solution

The fourth proportional to 14,677.39, 22,018.72 and 6,886 is: 10,330.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.39 : 22,018.72 = 6,886 : x
  2. Step 2: Convert to fraction form
    14,677.39/22,018.72 = 6,886/x
  3. Step 3: Cross multiply
    14,677.39x = 22,018.72 × 6,886
  4. Step 4: Simplify right side
    14,677.39x = 151,620,905.92
  5. Step 5: Solve for x
    x = 151,620,905.92/14,677.39
  6. Step 6: Final answer
    x = 10,330.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.