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Finding the Fourth Proportional to 13,476.63, 18,597.75 and 7,814.68

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Solution

The fourth proportional to 13,476.63, 18,597.75 and 7,814.68 is: 10,784.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,476.63 : 18,597.75 = 7,814.68 : x
  2. Step 2: Convert to fraction form
    13,476.63/18,597.75 = 7,814.68/x
  3. Step 3: Cross multiply
    13,476.63x = 18,597.75 × 7,814.68
  4. Step 4: Simplify right side
    13,476.63x = 145,335,418.48
  5. Step 5: Solve for x
    x = 145,335,418.48/13,476.63
  6. Step 6: Final answer
    x = 10,784.26

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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.