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Finding the Fourth Proportional to 12,514.14, 17,264.39 and 7,477.20

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Solution

The fourth proportional to 12,514.14, 17,264.39 and 7,477.20 is: 10,315.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.14 : 17,264.39 = 7,477.20 : x
  2. Step 2: Convert to fraction form
    12,514.14/17,264.39 = 7,477.20/x
  3. Step 3: Cross multiply
    12,514.14x = 17,264.39 × 7,477.20
  4. Step 4: Simplify right side
    12,514.14x = 129,089,259.52
  5. Step 5: Solve for x
    x = 129,089,259.52/12,514.14
  6. Step 6: Final answer
    x = 10,315.47

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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.