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Finding the Fourth Proportional to 12,297.65, 16,970.26 and 7,263.50

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Solution

The fourth proportional to 12,297.65, 16,970.26 and 7,263.50 is: 10,023.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.65 : 16,970.26 = 7,263.50 : x
  2. Step 2: Convert to fraction form
    12,297.65/16,970.26 = 7,263.50/x
  3. Step 3: Cross multiply
    12,297.65x = 16,970.26 × 7,263.50
  4. Step 4: Simplify right side
    12,297.65x = 123,263,507.78
  5. Step 5: Solve for x
    x = 123,263,507.78/12,297.65
  6. Step 6: Final answer
    x = 10,023.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.