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Finding the Fourth Proportional to 19,034.09, 28,534.71 and 9,159.78

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Solution

The fourth proportional to 19,034.09, 28,534.71 and 9,159.78 is: 13,731.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,034.09 : 28,534.71 = 9,159.78 : x
  2. Step 2: Convert to fraction form
    19,034.09/28,534.71 = 9,159.78/x
  3. Step 3: Cross multiply
    19,034.09x = 28,534.71 × 9,159.78
  4. Step 4: Simplify right side
    19,034.09x = 261,371,665.96
  5. Step 5: Solve for x
    x = 261,371,665.96/19,034.09
  6. Step 6: Final answer
    x = 13,731.77

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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.