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Finding the Fourth Proportional to 10,222.40, 15,295.20 and 9,300.80

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Solution

The fourth proportional to 10,222.40, 15,295.20 and 9,300.80 is: 13,916.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.40 : 15,295.20 = 9,300.80 : x
  2. Step 2: Convert to fraction form
    10,222.40/15,295.20 = 9,300.80/x
  3. Step 3: Cross multiply
    10,222.40x = 15,295.20 × 9,300.80
  4. Step 4: Simplify right side
    10,222.40x = 142,257,596.16
  5. Step 5: Solve for x
    x = 142,257,596.16/10,222.40
  6. Step 6: Final answer
    x = 13,916.26

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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.