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Finding the Fourth Proportional to 14,710.86, 20,305.63 and 9,405.70

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Solution

The fourth proportional to 14,710.86, 20,305.63 and 9,405.70 is: 12,982.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,710.86 : 20,305.63 = 9,405.70 : x
  2. Step 2: Convert to fraction form
    14,710.86/20,305.63 = 9,405.70/x
  3. Step 3: Cross multiply
    14,710.86x = 20,305.63 × 9,405.70
  4. Step 4: Simplify right side
    14,710.86x = 190,988,539.05
  5. Step 5: Solve for x
    x = 190,988,539.05/14,710.86
  6. Step 6: Final answer
    x = 12,982.83

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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.