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Finding the Fourth Proportional to 13,797.90, 18,916.86 and 13,549.20

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Solution

The fourth proportional to 13,797.90, 18,916.86 and 13,549.20 is: 18,575.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.90 : 18,916.86 = 13,549.20 : x
  2. Step 2: Convert to fraction form
    13,797.90/18,916.86 = 13,549.20/x
  3. Step 3: Cross multiply
    13,797.90x = 18,916.86 × 13,549.20
  4. Step 4: Simplify right side
    13,797.90x = 256,308,319.51
  5. Step 5: Solve for x
    x = 256,308,319.51/13,797.90
  6. Step 6: Final answer
    x = 18,575.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.