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Finding the Fourth Proportional to 12,962.67, 19,425.77 and 7,407.69

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Solution

The fourth proportional to 12,962.67, 19,425.77 and 7,407.69 is: 11,101.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,962.67 : 19,425.77 = 7,407.69 : x
  2. Step 2: Convert to fraction form
    12,962.67/19,425.77 = 7,407.69/x
  3. Step 3: Cross multiply
    12,962.67x = 19,425.77 × 7,407.69
  4. Step 4: Simplify right side
    12,962.67x = 143,900,082.17
  5. Step 5: Solve for x
    x = 143,900,082.17/12,962.67
  6. Step 6: Final answer
    x = 11,101.11

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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.