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Finding the Fourth Proportional to 14,577.76, 21,817.09 and 10,870.80

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Solution

The fourth proportional to 14,577.76, 21,817.09 and 10,870.80 is: 16,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577.76 : 21,817.09 = 10,870.80 : x
  2. Step 2: Convert to fraction form
    14,577.76/21,817.09 = 10,870.80/x
  3. Step 3: Cross multiply
    14,577.76x = 21,817.09 × 10,870.80
  4. Step 4: Simplify right side
    14,577.76x = 237,169,221.97
  5. Step 5: Solve for x
    x = 237,169,221.97/14,577.76
  6. Step 6: Final answer
    x = 16,269.25

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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.