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Finding the Fourth Proportional to 13,897.42, 19,178.44 and 7,609.80

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Solution

The fourth proportional to 13,897.42, 19,178.44 and 7,609.80 is: 10,501.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.42 : 19,178.44 = 7,609.80 : x
  2. Step 2: Convert to fraction form
    13,897.42/19,178.44 = 7,609.80/x
  3. Step 3: Cross multiply
    13,897.42x = 19,178.44 × 7,609.80
  4. Step 4: Simplify right side
    13,897.42x = 145,944,092.71
  5. Step 5: Solve for x
    x = 145,944,092.71/13,897.42
  6. Step 6: Final answer
    x = 10,501.52

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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.