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Finding the Fourth Proportional to 10,782.84, 16,139.70 and 9,219.96

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Solution

The fourth proportional to 10,782.84, 16,139.70 and 9,219.96 is: 13,800.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.84 : 16,139.70 = 9,219.96 : x
  2. Step 2: Convert to fraction form
    10,782.84/16,139.70 = 9,219.96/x
  3. Step 3: Cross multiply
    10,782.84x = 16,139.70 × 9,219.96
  4. Step 4: Simplify right side
    10,782.84x = 148,807,388.41
  5. Step 5: Solve for x
    x = 148,807,388.41/10,782.84
  6. Step 6: Final answer
    x = 13,800.39

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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.