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Finding the Fourth Proportional to 10,802.20, 16,203.30 and 10,024.60

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Solution

The fourth proportional to 10,802.20, 16,203.30 and 10,024.60 is: 15,036.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.20 : 16,203.30 = 10,024.60 : x
  2. Step 2: Convert to fraction form
    10,802.20/16,203.30 = 10,024.60/x
  3. Step 3: Cross multiply
    10,802.20x = 16,203.30 × 10,024.60
  4. Step 4: Simplify right side
    10,802.20x = 162,431,601.18
  5. Step 5: Solve for x
    x = 162,431,601.18/10,802.20
  6. Step 6: Final answer
    x = 15,036.90

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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.