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Finding the Fourth Proportional to 14,297.66, 21,409.35 and 9,869

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Solution

The fourth proportional to 14,297.66, 21,409.35 and 9,869 is: 14,777.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,297.66 : 21,409.35 = 9,869 : x
  2. Step 2: Convert to fraction form
    14,297.66/21,409.35 = 9,869/x
  3. Step 3: Cross multiply
    14,297.66x = 21,409.35 × 9,869
  4. Step 4: Simplify right side
    14,297.66x = 211,288,875.15
  5. Step 5: Solve for x
    x = 211,288,875.15/14,297.66
  6. Step 6: Final answer
    x = 14,777.86

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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.