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Finding the Fourth Proportional to 10,429.60, 15,620.10 and 10,220.80

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Solution

The fourth proportional to 10,429.60, 15,620.10 and 10,220.80 is: 15,307.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.60 : 15,620.10 = 10,220.80 : x
  2. Step 2: Convert to fraction form
    10,429.60/15,620.10 = 10,220.80/x
  3. Step 3: Cross multiply
    10,429.60x = 15,620.10 × 10,220.80
  4. Step 4: Simplify right side
    10,429.60x = 159,649,918.08
  5. Step 5: Solve for x
    x = 159,649,918.08/10,429.60
  6. Step 6: Final answer
    x = 15,307.39

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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.