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Finding the Fourth Proportional to 11,033.40, 16,525.80 and 9,802.20

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Solution

The fourth proportional to 11,033.40, 16,525.80 and 9,802.20 is: 14,681.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,033.40 : 16,525.80 = 9,802.20 : x
  2. Step 2: Convert to fraction form
    11,033.40/16,525.80 = 9,802.20/x
  3. Step 3: Cross multiply
    11,033.40x = 16,525.80 × 9,802.20
  4. Step 4: Simplify right side
    11,033.40x = 161,989,196.76
  5. Step 5: Solve for x
    x = 161,989,196.76/11,033.40
  6. Step 6: Final answer
    x = 14,681.71

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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.