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Finding the Fourth Proportional to 19,006.30, 28,509.45 and 9,164.80

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Solution

The fourth proportional to 19,006.30, 28,509.45 and 9,164.80 is: 13,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,006.30 : 28,509.45 = 9,164.80 : x
  2. Step 2: Convert to fraction form
    19,006.30/28,509.45 = 9,164.80/x
  3. Step 3: Cross multiply
    19,006.30x = 28,509.45 × 9,164.80
  4. Step 4: Simplify right side
    19,006.30x = 261,283,407.36
  5. Step 5: Solve for x
    x = 261,283,407.36/19,006.30
  6. Step 6: Final answer
    x = 13,747.20

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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.