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Finding the Fourth Proportional to 13,971.88, 19,281.12 and 8,003.64

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Solution

The fourth proportional to 13,971.88, 19,281.12 and 8,003.64 is: 11,044.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971.88 : 19,281.12 = 8,003.64 : x
  2. Step 2: Convert to fraction form
    13,971.88/19,281.12 = 8,003.64/x
  3. Step 3: Cross multiply
    13,971.88x = 19,281.12 × 8,003.64
  4. Step 4: Simplify right side
    13,971.88x = 154,319,143.28
  5. Step 5: Solve for x
    x = 154,319,143.28/13,971.88
  6. Step 6: Final answer
    x = 11,044.98

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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.