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Finding the Fourth Proportional to 12,468.51, 17,206.56 and 6,803.24

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Solution

The fourth proportional to 12,468.51, 17,206.56 and 6,803.24 is: 9,388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.51 : 17,206.56 = 6,803.24 : x
  2. Step 2: Convert to fraction form
    12,468.51/17,206.56 = 6,803.24/x
  3. Step 3: Cross multiply
    12,468.51x = 17,206.56 × 6,803.24
  4. Step 4: Simplify right side
    12,468.51x = 117,060,271.22
  5. Step 5: Solve for x
    x = 117,060,271.22/12,468.51
  6. Step 6: Final answer
    x = 9,388.47

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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.