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Finding the Fourth Proportional to 14,769.68, 22,142.07 and 6,443.59

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Solution

The fourth proportional to 14,769.68, 22,142.07 and 6,443.59 is: 9,659.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,769.68 : 22,142.07 = 6,443.59 : x
  2. Step 2: Convert to fraction form
    14,769.68/22,142.07 = 6,443.59/x
  3. Step 3: Cross multiply
    14,769.68x = 22,142.07 × 6,443.59
  4. Step 4: Simplify right side
    14,769.68x = 142,674,448.51
  5. Step 5: Solve for x
    x = 142,674,448.51/14,769.68
  6. Step 6: Final answer
    x = 9,659.95

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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.