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Finding the Fourth Proportional to 14,849.64, 20,484.73 and 9,182.58

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Solution

The fourth proportional to 14,849.64, 20,484.73 and 9,182.58 is: 12,667.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,849.64 : 20,484.73 = 9,182.58 : x
  2. Step 2: Convert to fraction form
    14,849.64/20,484.73 = 9,182.58/x
  3. Step 3: Cross multiply
    14,849.64x = 20,484.73 × 9,182.58
  4. Step 4: Simplify right side
    14,849.64x = 188,102,606.66
  5. Step 5: Solve for x
    x = 188,102,606.66/14,849.64
  6. Step 6: Final answer
    x = 12,667.15

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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.