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Finding the Fourth Proportional to 14,645.84, 20,214.12 and 9,601.04

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Solution

The fourth proportional to 14,645.84, 20,214.12 and 9,601.04 is: 13,251.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,645.84 : 20,214.12 = 9,601.04 : x
  2. Step 2: Convert to fraction form
    14,645.84/20,214.12 = 9,601.04/x
  3. Step 3: Cross multiply
    14,645.84x = 20,214.12 × 9,601.04
  4. Step 4: Simplify right side
    14,645.84x = 194,076,574.68
  5. Step 5: Solve for x
    x = 194,076,574.68/14,645.84
  6. Step 6: Final answer
    x = 13,251.31

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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.