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Finding the Fourth Proportional to 14,591.00, 20,143.87 and 9,637.40

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Solution

The fourth proportional to 14,591.00, 20,143.87 and 9,637.40 is: 13,305.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,591.00 : 20,143.87 = 9,637.40 : x
  2. Step 2: Convert to fraction form
    14,591.00/20,143.87 = 9,637.40/x
  3. Step 3: Cross multiply
    14,591.00x = 20,143.87 × 9,637.40
  4. Step 4: Simplify right side
    14,591.00x = 194,134,407.93
  5. Step 5: Solve for x
    x = 194,134,407.93/14,591.00
  6. Step 6: Final answer
    x = 13,305.08

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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.