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Finding the Fourth Proportional to 12,706.76, 17,533.67 and 7,041.24

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Solution

The fourth proportional to 12,706.76, 17,533.67 and 7,041.24 is: 9,715.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.76 : 17,533.67 = 7,041.24 : x
  2. Step 2: Convert to fraction form
    12,706.76/17,533.67 = 7,041.24/x
  3. Step 3: Cross multiply
    12,706.76x = 17,533.67 × 7,041.24
  4. Step 4: Simplify right side
    12,706.76x = 123,458,690.88
  5. Step 5: Solve for x
    x = 123,458,690.88/12,706.76
  6. Step 6: Final answer
    x = 9,715.99

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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.