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Finding the Fourth Proportional to 14,405.13, 21,607.70 and 6,197.13

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Solution

The fourth proportional to 14,405.13, 21,607.70 and 6,197.13 is: 9,295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405.13 : 21,607.70 = 6,197.13 : x
  2. Step 2: Convert to fraction form
    14,405.13/21,607.70 = 6,197.13/x
  3. Step 3: Cross multiply
    14,405.13x = 21,607.70 × 6,197.13
  4. Step 4: Simplify right side
    14,405.13x = 133,905,725.90
  5. Step 5: Solve for x
    x = 133,905,725.90/14,405.13
  6. Step 6: Final answer
    x = 9,295.70

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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.