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Finding the Fourth Proportional to 14,864.66, 20,513.44 and 8,896.58

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Solution

The fourth proportional to 14,864.66, 20,513.44 and 8,896.58 is: 12,277.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,864.66 : 20,513.44 = 8,896.58 : x
  2. Step 2: Convert to fraction form
    14,864.66/20,513.44 = 8,896.58/x
  3. Step 3: Cross multiply
    14,864.66x = 20,513.44 × 8,896.58
  4. Step 4: Simplify right side
    14,864.66x = 182,499,460.04
  5. Step 5: Solve for x
    x = 182,499,460.04/14,864.66
  6. Step 6: Final answer
    x = 12,277.41

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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.