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Finding the Fourth Proportional to 12,972.50, 19,460.67 and 6,043.22

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Solution

The fourth proportional to 12,972.50, 19,460.67 and 6,043.22 is: 9,065.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,972.50 : 19,460.67 = 6,043.22 : x
  2. Step 2: Convert to fraction form
    12,972.50/19,460.67 = 6,043.22/x
  3. Step 3: Cross multiply
    12,972.50x = 19,460.67 × 6,043.22
  4. Step 4: Simplify right side
    12,972.50x = 117,605,110.16
  5. Step 5: Solve for x
    x = 117,605,110.16/12,972.50
  6. Step 6: Final answer
    x = 9,065.72

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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.