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Finding the Fourth Proportional to 12,514.14, 17,271.63 and 7,212.04

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Solution

The fourth proportional to 12,514.14, 17,271.63 and 7,212.04 is: 9,953.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.14 : 17,271.63 = 7,212.04 : x
  2. Step 2: Convert to fraction form
    12,514.14/17,271.63 = 7,212.04/x
  3. Step 3: Cross multiply
    12,514.14x = 17,271.63 × 7,212.04
  4. Step 4: Simplify right side
    12,514.14x = 124,563,643.25
  5. Step 5: Solve for x
    x = 124,563,643.25/12,514.14
  6. Step 6: Final answer
    x = 9,953.83

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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.