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Finding the Fourth Proportional to 20,107.90, 27,730.74 and 12,554.93

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Solution

The fourth proportional to 20,107.90, 27,730.74 and 12,554.93 is: 17,314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107.90 : 27,730.74 = 12,554.93 : x
  2. Step 2: Convert to fraction form
    20,107.90/27,730.74 = 12,554.93/x
  3. Step 3: Cross multiply
    20,107.90x = 27,730.74 × 12,554.93
  4. Step 4: Simplify right side
    20,107.90x = 348,157,499.55
  5. Step 5: Solve for x
    x = 348,157,499.55/20,107.90
  6. Step 6: Final answer
    x = 17,314.46

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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.