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Finding the Fourth Proportional to 14,461.80, 21,705.02 and 10,311.98

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Solution

The fourth proportional to 14,461.80, 21,705.02 and 10,311.98 is: 15,476.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461.80 : 21,705.02 = 10,311.98 : x
  2. Step 2: Convert to fraction form
    14,461.80/21,705.02 = 10,311.98/x
  3. Step 3: Cross multiply
    14,461.80x = 21,705.02 × 10,311.98
  4. Step 4: Simplify right side
    14,461.80x = 223,821,572.05
  5. Step 5: Solve for x
    x = 223,821,572.05/14,461.80
  6. Step 6: Final answer
    x = 15,476.74

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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.