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Finding the Fourth Proportional to 13,514.40, 18,712.08 and 12,477.60

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Solution

The fourth proportional to 13,514.40, 18,712.08 and 12,477.60 is: 17,276.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,514.40 : 18,712.08 = 12,477.60 : x
  2. Step 2: Convert to fraction form
    13,514.40/18,712.08 = 12,477.60/x
  3. Step 3: Cross multiply
    13,514.40x = 18,712.08 × 12,477.60
  4. Step 4: Simplify right side
    13,514.40x = 233,481,849.41
  5. Step 5: Solve for x
    x = 233,481,849.41/13,514.40
  6. Step 6: Final answer
    x = 17,276.52

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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.