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Finding the Fourth Proportional to 14,905.68, 20,570.76 and 8,281.68

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Solution

The fourth proportional to 14,905.68, 20,570.76 and 8,281.68 is: 11,429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,905.68 : 20,570.76 = 8,281.68 : x
  2. Step 2: Convert to fraction form
    14,905.68/20,570.76 = 8,281.68/x
  3. Step 3: Cross multiply
    14,905.68x = 20,570.76 × 8,281.68
  4. Step 4: Simplify right side
    14,905.68x = 170,360,451.68
  5. Step 5: Solve for x
    x = 170,360,451.68/14,905.68
  6. Step 6: Final answer
    x = 11,429.23

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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.