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Finding the Fourth Proportional to 12,830.10, 19,245.15 and 9,112.20

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Solution

The fourth proportional to 12,830.10, 19,245.15 and 9,112.20 is: 13,668.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.10 : 19,245.15 = 9,112.20 : x
  2. Step 2: Convert to fraction form
    12,830.10/19,245.15 = 9,112.20/x
  3. Step 3: Cross multiply
    12,830.10x = 19,245.15 × 9,112.20
  4. Step 4: Simplify right side
    12,830.10x = 175,365,655.83
  5. Step 5: Solve for x
    x = 175,365,655.83/12,830.10
  6. Step 6: Final answer
    x = 13,668.30

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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.