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Finding the Fourth Proportional to 11,059.40, 16,564.80 and 9,828.20

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Solution

The fourth proportional to 11,059.40, 16,564.80 and 9,828.20 is: 14,720.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,059.40 : 16,564.80 = 9,828.20 : x
  2. Step 2: Convert to fraction form
    11,059.40/16,564.80 = 9,828.20/x
  3. Step 3: Cross multiply
    11,059.40x = 16,564.80 × 9,828.20
  4. Step 4: Simplify right side
    11,059.40x = 162,802,167.36
  5. Step 5: Solve for x
    x = 162,802,167.36/11,059.40
  6. Step 6: Final answer
    x = 14,720.71

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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.