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Finding the Fourth Proportional to 13,897.47, 19,179 and 7,609.86

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Solution

The fourth proportional to 13,897.47, 19,179 and 7,609.86 is: 10,501.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.47 : 19,179 = 7,609.86 : x
  2. Step 2: Convert to fraction form
    13,897.47/19,179 = 7,609.86/x
  3. Step 3: Cross multiply
    13,897.47x = 19,179 × 7,609.86
  4. Step 4: Simplify right side
    13,897.47x = 145,949,504.94
  5. Step 5: Solve for x
    x = 145,949,504.94/13,897.47
  6. Step 6: Final answer
    x = 10,501.88

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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.