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Finding the Fourth Proportional to 19,907.76, 27,461.28 and 12,442.80

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Solution

The fourth proportional to 19,907.76, 27,461.28 and 12,442.80 is: 17,163.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,907.76 : 27,461.28 = 12,442.80 : x
  2. Step 2: Convert to fraction form
    19,907.76/27,461.28 = 12,442.80/x
  3. Step 3: Cross multiply
    19,907.76x = 27,461.28 × 12,442.80
  4. Step 4: Simplify right side
    19,907.76x = 341,695,214.78
  5. Step 5: Solve for x
    x = 341,695,214.78/19,907.76
  6. Step 6: Final answer
    x = 17,163.92

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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.