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Finding the Fourth Proportional to 34,009.19, 51,005.69 and 14,288.13

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Solution

The fourth proportional to 34,009.19, 51,005.69 and 14,288.13 is: 21,428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,009.19 : 51,005.69 = 14,288.13 : x
  2. Step 2: Convert to fraction form
    34,009.19/51,005.69 = 14,288.13/x
  3. Step 3: Cross multiply
    34,009.19x = 51,005.69 × 14,288.13
  4. Step 4: Simplify right side
    34,009.19x = 728,775,858.02
  5. Step 5: Solve for x
    x = 728,775,858.02/34,009.19
  6. Step 6: Final answer
    x = 21,428.79

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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.