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Finding the Fourth Proportional to 34,013.62, 51,009.08 and 14,288.50

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Solution

The fourth proportional to 34,013.62, 51,009.08 and 14,288.50 is: 21,427.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,013.62 : 51,009.08 = 14,288.50 : x
  2. Step 2: Convert to fraction form
    34,013.62/51,009.08 = 14,288.50/x
  3. Step 3: Cross multiply
    34,013.62x = 51,009.08 × 14,288.50
  4. Step 4: Simplify right side
    34,013.62x = 728,842,984.53
  5. Step 5: Solve for x
    x = 728,842,984.53/34,013.62
  6. Step 6: Final answer
    x = 21,427.98

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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.