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Finding the Fourth Proportional to 12,462, 17,197.56 and 7,494

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Solution

The fourth proportional to 12,462, 17,197.56 and 7,494 is: 10,341.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462 : 17,197.56 = 7,494 : x
  2. Step 2: Convert to fraction form
    12,462/17,197.56 = 7,494/x
  3. Step 3: Cross multiply
    12,462x = 17,197.56 × 7,494
  4. Step 4: Simplify right side
    12,462x = 128,878,514.64
  5. Step 5: Solve for x
    x = 128,878,514.64/12,462
  6. Step 6: Final answer
    x = 10,341.72

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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.