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Finding the Fourth Proportional to 13,930.30, 19,225.52 and 7,962.22

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Solution

The fourth proportional to 13,930.30, 19,225.52 and 7,962.22 is: 10,988.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.30 : 19,225.52 = 7,962.22 : x
  2. Step 2: Convert to fraction form
    13,930.30/19,225.52 = 7,962.22/x
  3. Step 3: Cross multiply
    13,930.30x = 19,225.52 × 7,962.22
  4. Step 4: Simplify right side
    13,930.30x = 153,077,819.85
  5. Step 5: Solve for x
    x = 153,077,819.85/13,930.30
  6. Step 6: Final answer
    x = 10,988.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.